Posted by **Amanda** on Wednesday, May 7, 2008 at 1:19pm.

y= x^(2x+1)

find the derivative of the function using natural log

- Math (Calculus) -
**Count Iblis**, Wednesday, May 7, 2008 at 1:54pm
Log(y) = (2x+1)Log(x)

Differentiate both sides:

y'/y = 2 Log(x) + 2 + 1/x

Multiply by y:

y' = [2 Log(x) + 2 + 1/x] x^(2x+1)

- Math (Calculus) -
**Anonymous**, Thursday, May 8, 2008 at 12:01am
y=x2x+1

Find the derivative of the expression.

(2x+1)

To find the derivative of 2x, multiply the base (x) by the exponent (1), then subtract 1 from the exponent (1-1=0). Since the exponent is now 0, x is eliminated from the term.

1

Since 1 does not contain x, the derivative of 1 is 0.

2x+1=2+0

Add 0 to 2 to get 2.

2x+1=2

Using the chain rule, the derivative of x2x+1 is

x2x+1*2

Multiply x2x+1 by 2 to get 2x2x+1.

2x2x+1

The derivative of y with respect to x is 2x2x+1.

The derivative of y with respect to x is 2x2x+1.

## Answer this Question

## Related Questions

- Math - h(x) = log (6x+5/7x-4) Find a formula for the inverse function h^-1(x) h...
- Calculus - What would an example of a logarithmic function that contains two ...
- Calculus - Find the derivative of: y= 5^x + 15/x^6 I'm assuming I need to take ...
- calculus - Find the derivative of the function using the definition of ...
- calculus - find the derivative of the function y=log absolut power 2-x
- Math - I understand generally how to solve, by taking natural logs and the the ...
- calculus - You are given the following function. f(x)= (8+x)/(1-8x) (a) Find the...
- Calc - a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx...
- Calculus derivatives - f(a) = a + √a (a) Find the derivative of the ...
- Calculus - For f(x)=2(x+5)^3 +7 Find and classify the extreme values, determine ...