Friday

October 24, 2014

October 24, 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

**Answer this Question**

**Related Questions**

Pre-Calc - Trigonometric Identities Prove: (tanx + secx -1)/(tanx - secx + 1)= ...

Math - Verify the identity . (cscX-cotX)^2=1-cosX/1+cosX _______ sorry i cant ...

Trigonometry Check - Simplify #3: [cosx-sin(90-x)sinx]/[cosx-cos(180-x)tanx] = [...

Calculus..more help! - I have a question relating to limits that I solved lim(x...

Calculus - Find the area between y=cosx and y=sinx from 0 to 2pi. To find the ...

Trig........ - I need to prove that the following is true. Thanks (cosx / 1-sinx...

Math - How many solutions does the equation cosx + 1/2 = 1 have for 0<x<...

Pre Calculus - Having trouble verifying this identity... cscxtanx + secx= 2cosx ...

calculus - Find an equation of the tangent line to the curve at y = cosx - sinx...

Calculus - I don't know if I did these problems correctly. Can you check them? ...