Question #301559

Write an example of a function whose derivative can be found by using the following rules:

a) Product rule and special function differentiation rules

b) Power rule, quotient rule, and chain rule

c) Chain rule twice

d) Implicit differentiation and special function differentiation rule



1
Expert's answer
2022-02-24T06:16:51-0500

Solution:

(a):

f(x)=(2x+1)(3x4)f(x)=(2x+1)(3x-4)

(b):

Power rule: f(x)=x7f(x)=x^7

quotient rule: f(x)=x+44x1f(x)=\dfrac{x+4}{4x-1}

chain rule: f(x)=sin4xf(x)=\sin^4x

(c):

Chain rule twice: f(x)=sin4x3f(x)=\sin^4x^3

(d):

f(x)=y=(7x+2)3(2x5)2f(x)=y=(7x+2)^3(2x-5)^2


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!
LATEST TUTORIALS
APPROVED BY CLIENTS