f(x)=(5x^2-4x)^2
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

Question: find the derivative functions f(x)=(5x^2-4x)^2

Use the chain rule.

Let u = 5x^2 - 4x

then du/dx = 10x - 4

f = f(u) = u^2

and df/du = 2u.

We want df/dx, and by the chain rule, df/dx = (df/du)*(du/dx)

Hence,

df/dx = (df/du)*(du/dx) = 2u*(10x - 4)

df/dx = 2*(5x^2 - 4x)*(10x - 4)

df/dx = 2x(5x - 4)(10x - 4)

by Level 11 User (81.5k points)

Related questions

2 answers
0 answers
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,844 questions
91,601 answers
2,224 comments
15,921 users