AI Homework HelperFor Step-by-Step Solutions
Get instant help with math, science, humanities, and more subject matter. Our AI homework solver provides detailed explanations that help you learn.
Find the derivative of f(x) = 3x⁴ - 2x² + 5x - 7 and evaluate at x = 2
calculus_assignment.pdf
2.4 MB
function_graph.jpg
1.1 MB
I'll solve this step-by-step using calculus principles:
Step 1: Apply the power rule for each term
f'(x) = 3 · 4x³ - 2 · 2x¹ + 5 · 1x⁰ - 0
For each term of form ax^n, the derivative is a·n·x^(n-1)
Step 2: Simplify the expression
f'(x) = 12x³ - 4x + 5
Multiply the coefficients and reduce the exponents
Step 3: Evaluate at x = 2
f'(2) = 12(2)³ - 4(2) + 5
Substitute x = 2 into the derivative expression
Step 4: Calculate the result
f'(2) = 12 · 8 - 8 + 5 = 96 - 8 + 5 = 93
Compute the final value through order of operations
Final Answer:
f'(2) = 93
Enter a homework question below to see how our AI homework solver assists students with detailed answers for any subject matter
Popular questions:
Trusted by Universities and Businesses
Across the World
Powerful Features for Academic Excellence
Experience the future of homework help with our advanced AI-powered features
Step-by-Step Solutions
Get detailed explanations for each step of the problem-solving process, helping you understand concepts thoroughly.
AI-Powered Problem Solving
Our advanced AI analyzes your homework problems and provides accurate solutions across multiple subjects.
Practice Problems
Access thousands of practice problems with varying difficulty levels to reinforce your learning.
Instant Answers
Get immediate help with your homework questions, saving you time and reducing frustration.
Multiple Subjects
Comprehensive coverage of math, science, humanities, and more to help with all your academic needs.
Concept Explanations
Clear explanations of underlying concepts to build a solid foundation of knowledge.
Interactive Learning
Engage with the material through interactive elements that enhance understanding and retention.
Progress Tracking
Monitor your improvement over time with detailed analytics and performance insights.
How AI Homework Helper Works
Our advanced AI tools assist students with homework in just a few simple steps, providing AI assistance for any academic challenge
Input Your Problem
Type your homework question or upload a photo of the problem you need help with.
AI Analysis
Our AI analyzes the problem, identifies the subject area, and determines the best approach to solve it.
Step-by-Step Solution
Receive a detailed solution with each step explained clearly to help you understand the process.
Practice & Learn
Use similar practice problems to reinforce your understanding and master the concept.
What Our Users Say
See how our AI tools assist students in improving their understanding of the subject with detailed answers and AI assistance for any academic challenge.
Alex Johnson
High School Student
"The AI Homework Helper has been a lifesaver for my calculus homework. The detailed answers and step-by-step explanations help me gain a deeper understanding of the subject, not just get the answers."
Dr. Emily Chen
Math Professor
"I recommend StudyXY's AI tools to all my students. This homework solver is an excellent resource for reinforcing learning outside the classroom with AI assistance that truly works."
Michael Rodriguez
College Student
"The physics problem solver is incredible. It breaks down complex problems into manageable steps and explains the theory behind each one."
Alex Johnson
High School Student
"The AI Homework Helper has been a lifesaver for my calculus homework. The detailed answers and step-by-step explanations help me gain a deeper understanding of the subject, not just get the answers."
Dr. Emily Chen
Math Professor
"I recommend StudyXY's AI tools to all my students. This homework solver is an excellent resource for reinforcing learning outside the classroom with AI assistance that truly works."
Sarah Williams
Parent
"My daughter uses the AI Homework Helper for her chemistry assignments. Her grades have improved significantly since we started using it."
James Peterson
Teaching Assistant
"As a TA, I appreciate how the Homework Helper teaches students the process rather than just giving them answers. It's a valuable learning tool."
Sarah Williams
Parent
"My daughter uses the AI Homework Helper for her chemistry assignments. Her grades have improved significantly since we started using it."
James Peterson
Teaching Assistant
"As a TA, I appreciate how the Homework Helper teaches students the process rather than just giving them answers. It's a valuable learning tool."
Frequently Asked Questions
Find answers to common questions about our Homework Helper
Recently Solved Questions
Browse through our latest solved homework questions from various subjects
Mathematics
Factor using the sum or difference of two cubes formula. a3−27
Chemistry
What is the correct molecular geometry of the following, respectively: ClF4+, COCl2, XeF4, IF3, IO2F2- (1) Seesaw, Trigonal Planar, Square Planar, T-Shaped, Seesaw (2) Tetrahedral, Trigonal Planar, Octahedral, Trigonal bipyramidal, Trigonal bipyradmidal (3) Pyramidal, Trigonal planar, planar, Seesaw, T-Shaped (4) Trigonal Planar, Trigonal pyramidal, Square Planar, T-Shaped, Seesaw (5) Seesaw, T-shaped, Square planar, Trigonal planar, Trigonal pyramidal
Art
For BBr₃, write about its electron geometry, molecule shape, bond angles around the central atom, and molecular polarity (polar or non-polar).
Mathematics
Factor using the sum or difference of two cubes formula. a3−27
Chemistry
What is the correct molecular geometry of the following, respectively: ClF4+, COCl2, XeF4, IF3, IO2F2- (1) Seesaw, Trigonal Planar, Square Planar, T-Shaped, Seesaw (2) Tetrahedral, Trigonal Planar, Octahedral, Trigonal bipyramidal, Trigonal bipyradmidal (3) Pyramidal, Trigonal planar, planar, Seesaw, T-Shaped (4) Trigonal Planar, Trigonal pyramidal, Square Planar, T-Shaped, Seesaw (5) Seesaw, T-shaped, Square planar, Trigonal planar, Trigonal pyramidal
Art
For BBr₃, write about its electron geometry, molecule shape, bond angles around the central atom, and molecular polarity (polar or non-polar).
Art
Focal and Accent Points: In painting: David and Goliath by Michelangelo Caravaggio (Refer to Chapter 7 of Visual Literacy) What is the focal point in the artwork? Where are your eyes drawn? Where are the accent points in the artwork?
General
choose the correct answer The word paradigm literally means ___. a. frame of reference b. secrecy c. equal to d. learning outcomes According to __ we must think about the purpose of the curriculum; it must serve to liberate learners to make links and understand language, experiences and their daily struggles. a. Stenhouse b. Freire c. Tyler d. Vygotsky
Mathematics
Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y, is greater than, minus, one half, x, minus, 3 y>− 2 1 x−3 y, is greater than, x, plus, 6 y>x+6
Art
Focal and Accent Points: In painting: David and Goliath by Michelangelo Caravaggio (Refer to Chapter 7 of Visual Literacy) What is the focal point in the artwork? Where are your eyes drawn? Where are the accent points in the artwork?
General
choose the correct answer The word paradigm literally means ___. a. frame of reference b. secrecy c. equal to d. learning outcomes According to __ we must think about the purpose of the curriculum; it must serve to liberate learners to make links and understand language, experiences and their daily struggles. a. Stenhouse b. Freire c. Tyler d. Vygotsky
Mathematics
Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y, is greater than, minus, one half, x, minus, 3 y>− 2 1 x−3 y, is greater than, x, plus, 6 y>x+6
Ready to Ace Your Homework?
Join thousands of students mastering their subjects with our AI-powered Homework Helper.