Posted by **John** on Wednesday, May 14, 2008 at 5:42pm.

Find the Derivative of F(x)=4x2(the previous 2 is squared)-2x

- Pre Calculus -
**Damon**, Wednesday, May 14, 2008 at 5:57pm
y = 4 x^2 -2 x

in general derivative of x^n = n x^(n-1) so

dy/dx = 4 * 2 x^1 - 2 x^0

which is

8 x - 2

- Pre Calculus -
**Damon**, Wednesday, May 14, 2008 at 6:03pm
Now if you have not had that relation you have to do it from the definition

dy/dx = (y at x+h - y at x) /h as h-->0

here

y at x+h = 4 (x+h)^2 - 2 (x+h)

= 4 x^2 + 8 x h +4 h^2 - 2 x - 2 h

y at x = 4 x^2 - 2 x

difference over h = 8 x + 4 h - 2

as h-->0 that is

8 x - 2

as we already knew

## Answer This Question

## Related Questions

- calculus - Consider the function below. f(x) = 4x2 - 5x (a) Find f '(2). (b) Use...
- pre cal - Factor completely: 3x^2(4x2 + 1)^8 + 64x^4(4x2 + 1)^7.
- calc - derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and...
- calculus - Construct a sign chart for the derivative. Then determine the ...
- Pre cal - Fine a third degree polynomial function f(x) with real coefficients ...
- Math - Find the shortcut. Solve these problems. Then find and explain a shortcut...
- Calculus - derivatives - Okay, I want to find the derivative of (x^x)^(x^x)... ...
- Algebra - Below is a "complete the square problem" from a math help site on the ...
- Calculus - Find the derivative: h(x)=7x/sqrt(5-2x) Using the chain rule...I ...
- pre-calculus - find the derivative of y=(3x+1)^2 y= square root 13x^2-5x+8

More Related Questions