Wednesday

July 23, 2014

July 23, 2014

Posted by **Veronica** on Thursday, July 17, 2008 at 6:34pm.

Find the derivative for k(x) = (5x4 + 2)(3sin x)

Find the derivative for m(x) = -ex cos x at x = 1

- Calculus -
**drwls**, Thursday, July 17, 2008 at 7:47pmFirst familarize yourself with the "product rule" for derivatives.

For a product of two functions, which I will call

f(x) = u(x) * v(x),

the derivative of the product function is

df/dx = u dv/dx + v du/dx

For your second question, let

u(x) = -e^x and v(x) = cos x

du/dx = -e^x and dv/dx = -sin x

df/dx = -e^x cos x + e^x sin x

Now you try the other one

**Related Questions**

Calculus - Find the derivative for k(x) = (5x4 + 2)(3sin x). Would this be the ...

calculus - Please help. Applying the chain rule, how do I find the derivative of...

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

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

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

Calculus - y= ln3x *e^2x^2 + sin5x^2 find the derivative. i know what to do. ...

Calculus - Find the derivative of y with respect to x: y=3sin^4(2-x)^-1 y=[3sin(...

Math, Calculus - Find the derivative of the function. y= xcosx - sinx What's the...

Calculus - How do I use the chain rule to find the derivative of square root(1-x...

calculus - Please help, my live tutor and I could spent 2 hours trying to solve ...