+0  
 
+2
47
1
avatar+280 

Find the derivative using the derivatives formula, f(x+h)-f(x)/h of f(x)= 3x^3 + 2x^2 + x + 1

 May 22, 2022
 #1
avatar+117494 
+2

 

Find the derivative using the derivatives formula, [f(x+h)-f(x)]/h of f(x)= 3x^3 + 2x^2 + x + 1

 

f(x)= 3x^3 + 2x^2 + x + 1

f(x+h)= 3x(x+h)^3 + 2(x+h)^2 + (x+h) + 1

 

 

 

\(\displaystyle \frac{f(x+h)-f(x)}{h} = \frac{[  3x(x+h)^3 + 2(x+h)^2 + (x+h) + 1] - [3x^3 + 2x^2 + x + 1] }{h}\)

 

now simplify

 

--------------------------------

This has been edited in order to correct copy errors.

Thanks Alan.

 May 22, 2022
edited by Melody  May 22, 2022

11 Online Users