Monday

July 28, 2014

July 28, 2014

Posted by **Roy** on Tuesday, September 17, 2013 at 6:15am.

- calculus -
**Jai**, Tuesday, September 17, 2013 at 6:53amy = (5e^x)/(cos x)

Since 1/cos(x) = sec(x), we can also rewrite this as

(5e^x)(sec(x))

Since two terms which are both functions of x are multiplied, we use the chain rule. Thus it becomes:

(5e^x)(sec(x)) + (5e^x)(tan(x) * sec(x))

Simplifying,

dy/dx = (5e^x)(sec(x))(1 + tan(x))

Hope this helps~ :3

- calculus -
**Graham**, Tuesday, September 17, 2013 at 7:04amLet f(x) = e^x

So f'(x) = e^x

Let g(x) = cos(x)

So g'(x) = -sin(x)

Use:

(f/g)' = ((f'×g)-(f×g'))/g^2

**Related Questions**

calculus - Can you give me a good website on the topic, slope fields and ...

Calculus - Find the differential dy and evaluate dy for the given values of x ...

calculus - Find the differential dy of the given function: y=xcosx would this ...

Calculus - Use implicit differentiation to find dy/dx if cos xy = 2x^2 - 3y. I'm...

Calculus (repost) - Use implicit differentiation to find dy/dx if cos xy = 2x^2...

Calculus - How do you us implicit differentiation to solve x( y + 2 )^5 = 8 x( y...

calculus - if y=cosx.sinx find dy/dx

Calculus - Find (dy/dx) for the equation (7x+8y/9x-4y)=4. a. (dy/dx)=(-29/24) b...

Calculus - I am unsure of how to take the derivative of this equation. It may be...

calculus - find dy/dx y=ln (secx + tanx) Let u= secx + tan x dy/dx= 1/u * du/dx ...