Thursday

July 31, 2014

July 31, 2014

Posted by **Jean** on Wednesday, July 18, 2012 at 6:06pm.

- Calc -
**Jean**, Wednesday, July 18, 2012 at 6:07pmCheck using the following formula:

(5^g(x))'= (ln5)*(5^g(x))*(g'(x))

- Calc -
**bobpursley**, Wednesday, July 18, 2012 at 6:22pmI never did like formulas.

remember that derivative of ln(g(x))=g'(x)/g(x)

here f(x)=5^(x^2+1)

ln f(x)= (x^2+1)ln5

take the derivative

f'(x)/f(x)=2x*ln5 + 0

f'(x)=f(x)*10x*ln5=10x*ln5*5^(x^2+1)

Now comparing this to your 'formula':

f'(x)=ln5*5^(x^2+1)*2x=10x*5^(x^2+1)

Hmmm same thing.

**Related Questions**

calc - logarithmic differentiation of find derivative of y= square root of x^x

Calculus - I need to find the derivative of the following problem via ...

collge calculus - find the derivative of y=[(4^(7x))(7^(4x))]/[10^(e)] without ...

Calculus - Using logarithmic differentiation find the derivative of f(x)=2x/x. I...

Calc - find the derivative of y =(x+3)^3 / sqrt(x^2 -1) using logarithmic ...

calculus - Given y^4 -x^4=16 find and simplify d2y/dx2 using implicit ...

Math - f(x)=x^5x Use logarithmic differentiation to determine the derivative.

math - Let f(x)=((x^(6))*((x-8)^(2)))/((x2+4)^(7)) Use logarithmic ...

Calc - ex: Find the indicated derivative using implicit differentiation. e^x/y^2...

Calc - Use logarithmic differentiation to find dy/dx. y = sq. root [(x^2 - 1)/(x...