Sunday

April 20, 2014

April 20, 2014

Posted by **Alice** on Tuesday, July 17, 2012 at 3:51pm.

f(x) = e−3x + 5e4x

- Calc -
**Jai**, Tuesday, July 17, 2012 at 3:57pmf(x) = e^(−3x) + 5e^(4x)

Note that the derivative of e^x is equal to e^x times the derivative of the exponent with variable x:

d/dx (e^x) = e^x dx

applying this,

f'(x) = -3e^(-3x) + 20e^(4x) : First derivative

f''(x) = 9e^(-3x) + 80e^(4x) : Second derivative

**Related Questions**

Calc-please help! - What is the second derivative of (x^3)/(x^2-1)? And how ...

calc - derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and...

Calc - I'm creating a "calculu for dummies" project book. I've already done most...

increasing decreasing and more - How to analytically find the intervals on which...

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

Calc - 1. Find values of a,b,c, and d such that g(x) = a(x^3)+b(x^2)+cx+d has a ...

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

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

Applied Calculus - Find the first and second derivative of the function: x/(7x+...

Calc - Find the derivative of the function. h(x) = x^2 arctan x