Question

II) Use definition of derivative to find derivative for the following functions: 1) \(f(x) = \frac{1}{1-x}\) 2) \(f(x) = \frac{1}{x^2}\) 3) \(f(x) = \sqrt{2x + 1}\) 4) \(f(x) = \frac{1}{\sqrt{x+1}}\)

          II) Use definition of derivative to find derivative for the following functions:
1) \(f(x) = \frac{1}{1-x}\)
2) \(f(x) = \frac{1}{x^2}\)
3) \(f(x) = \sqrt{2x + 1}\)
4) \(f(x) = \frac{1}{\sqrt{x+1}}\)

II) Use definition of derivative to find derivative for the following functions:
1) f(x) = (1)/(1-x)
2) f(x) = (1)/(x^2)
3) f(x) = √(2x + 1)
4) f(x) = (1)/(√(x+1))

Added by Antonio W.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Joseph Liao

10/29/2020

Step 1

Step 1: For the function f(x) = 1/(1-x), we will use the definition of derivative: f'(x) = lim(h->0) [f(x+h) - f(x)] / h Show more…

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II) Use definition of derivative to find derivative for the following functions: f(x)=(1)/(1-x) f(x)=(1)/(x^(2)) f(x)=sqrt(2x+1) f(x)=(1)/(sqrt(x+1)) 11) Use definition of derivative to find derivative for the following functions 1)f(x) 1 2) f(x)= x2 3) f(x)=V2x+1 1 4)f(x)= vx+1