Sunday

April 20, 2014

April 20, 2014

Posted by **jennifer** on Tuesday, October 23, 2007 at 1:57am.

I'm confused because of the exponents rules. please show me the steps in simplifying the exponents then taking the derivative.

- calculus -
**drwls**, Tuesday, October 23, 2007 at 3:07amFirst lets break it up into terms that can be differentiated separately.

(x^2(2+x^1/2))/x^4

=[2x^2 + x^(5/2)]/x^4

= 2x^-2 + x^(-3/2)

Now use the x^n exponent derivative rule

df/dx = -4x^-3 -(3/2)x^(-5/2)

**Related Questions**

Calculus - Find the anti derivative of the following: 1. u^-2(1-u^2+u^4)du 2. (...

Calculus - find derivitive of 1/square root of x 1/square root of x = x^(-1/2) ...

calculus - what is the 2nd derivative of: 1-xy = x-y i get (-y-1)/(x-1) for the ...

Calculus (Help) - Also I would like to know how to set this problem up in ...

Calculus - Use logarithmic differentiation to find derivative of y=x^x^2 x > ...

Calculus - Any help would be much appreciated with the steps involved in each ...

Calculus - Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x ...

Calculus - Find the derivative of the function using the definition of a ...

Calculus - Any help would be much appreciated with the steps involved in each ...

Calculus - Use derivative formulas to find the derivative of the function. ...