Thursday

October 23, 2014

October 23, 2014

Posted by **david** on Saturday, December 9, 2006 at 11:58pm.

i keep getting 6/x * e^(3*ln(x^2))

but that's not one of the multiple choice so am i doing something wront.

also, what is the limit of (1-cosx)/(2*(sinx)^2) as x approaches zero. is the answer zero or nonexistent

The derivative of e^(3*ln(x^2)):

Let's write ln (x^2) as 2 ln x. Then

d/dx [e^(6 ln x)] = [e^(6 ln x)] * (6/x)

The limit of (1-cosx)/(2*(sinx)^2) as x approaches zero. The answer is NOT zero or undetermined.

Use L'Hopital's rule. The ratio of derivatives of numerator and denominator is

sin x/[4 sin x *cos x] = 1/(4 cos x)

At x = 0, that becomes 1/4

**Answer this Question**

**Related Questions**

Calculus - This is a large problem, sorry for the trouble. if f(x) = sqrt(x^3 + ...

English for john browm - Let me give you something on "multiple-choice" items ...

derivative calculus - Please help. f(t)=(4+√t)(4t^2-5) This is what I have...

ENGLISH/MATH/SCIENCE HELP! - Is there any websites for teens to read short ...

Stats - An instructor gives a test with 20 multiple choice questions. There are ...

Truth in Lending - I have a quick question. I keep getting confused in this ...

Calculus - Y=5x^4 -24x^3+24x^2+17 is concave down for which interval? A) x<0...

calculus - For x>0 find and simplify the derivative of f(x)= arctan(x) + ...

calculus - i need to use implicit differentiation to find the derivative: yx+y...

Statistics - Multiple Choice Which of the following statements is true about the...