Wednesday

March 4, 2015

March 4, 2015

Posted by **Anonymous** on Wednesday, January 28, 2009 at 5:30pm.

- Math - Derivatives -
**Reiny**, Wednesday, January 28, 2009 at 7:03pmyou will have to take the natural log of both sides.

I will illustrate with an example

e.g.

y = (x^2+1)^(2x+3)

ln y = ln ((x^2+1)^(2x+3))

ln y = (2x+3)(ln(x^2+1)

now differentiate, using the product rule on the right side.

(dy/dx)/y = (2x+3)(2x/(x^2+1)) + 2ln(x^2+1)

dy/dx = y((2x+3)(2x/(x^2+1)) + 2ln(x^2+1))

you could then replace y with its original value and simplify, but that would be a general method.

**Answer this Question**

**Related Questions**

math - can some one please help me with the following questions as i dont ...

Calculus - Hello, I really need help on these two homework problem. >< In ...

Math derivatives - What is the derivative of: a) cos(3x) b) π/x I did (a) ...

calculus - Differentiate both sides of the double angle identify sin 2x= 2 sin x...

math - I studied derivatives before, but kind of forgot them all, is there a ...

Calculus (Derivatives) - What is the derivative of the this functon? g(x) = -500...

math derivative please help - the derivative of 2x^e is zero right or no? do i ...

Calculus - I finished this problem but I wanted some feedback because I don't ...

Math - suppose u and v are functions of x that are differentiable at x=2 and ...

Calculus - Follow the steps below for the given function. (Do not use mixed ...