Saturday

April 19, 2014

April 19, 2014

Posted by **Mel <3** on Sunday, November 30, 2008 at 6:58pm.

- Calculus -
**drwls**, Sunday, November 30, 2008 at 7:37pmLet x^2 = u and ln(x^2) = 2 ln x = v

f'(x) = u dv/dx + v du/dx

f'(x) = x^2*(2/x) + 2x *2 ln x)

= 2x + 4 x ln x = 2 x (ln x + 1)

- Calculus -
**Damon**, Sunday, November 30, 2008 at 7:41pmy = (x^2) ln(x^2)

but ln(x^2) = 2 ln x

so

y = 2(x^2)ln x

dy/dx = 2(x^2) dy/dx (ln(x)) + 2 ln(x)dy/dx(x^2)

= 2 x^2 (1/x) + 2 ln x (2 x)

=2x +4x ln x

=2x(1+2lnx)

- Calculus -
**drwls**, Sunday, November 30, 2008 at 7:51pmMy last equation was wrong. Damon is right

**Related Questions**

Calculus - derivatives - Okay, I want to find the derivative of (x^x)^(x^x)... ...

calculus - What is the DERIVATIVE of: ln x^2 * ln 6 -(product rule)

Calculus - Find the derivative of y=x^2 / e^2x using the Quotient Rule, and ...

Calculus (Derivatives) - Using the product rule, find the derivative of the ...

Calc - a) y =ln(x-1) find dy/dx=? b) y=3 ln x - ln (1/x) where x >0, dy/dx...

Calculus - Find the derivative of the function y, below. It may be to your ...

Further maths - Under differential calculus using the product rule find the ...

calculus - Find the derivative of y = (x^2 + 1)(x^3 + 1) in two ways: by using ...

Calculus - How do I use the chain rule to find the derivative of square root(1-x...

Math, Calculus - Find the derivative of the function. y= xcosx - sinx What's the...