Homework Help: Calculus

Posted by Sam on Tuesday, June 10, 2008 at 10:58pm.

Can someone help me find the derivatives of these questions?

For these can you only need to tell me the answer so i can see if i have the same thing.
y=cos(-4x)

y = sinx^2

y = xcosx

I need help with these 6 please.

y = xcos(1/x)

y = (1+sinx)/(1-sin^(2)x)

y = sin^2x/cosx

y = sqrt(sin(sqrtx))

y = 3sqrt(xcosx)

y = 1/(sin(x-sinx)

Calculus - Reiny, Wednesday, June 11, 2008 at 12:02am
y=cos(-4x)
y' = -4(-sin(-4x)
= 4sin(-4x)

y = sinx^2 or (sinx)^2

y' = 2sinxcosx or sin 2x

y = xcosx
y' = x(-sinx) + (1)cosx
= cosx - xsinx
Calculus - Reiny, Wednesday, June 11, 2008 at 12:08am
for y = xcos(1/x)
I would use the product rule

y' = x(-sin(1/x))(-1/x^2) + (1)cos(1/x)

for y = (1+sinx)/(1-sin^(2)x) I would reduce it to

y = (1+sinx)/((1+sinx)(1-sinx))
= 1/(1-sinx)
= (1-sinx)^-1

now y' = -1(1-sinx)^{-2?sup>(-cosx)

why don't you show me some of the steps you have sofar for the others?}
- Calculus - Reiny, Wednesday, June 11, 2008 at 12:10am
  last line should have come out as ...
  
  y = -1(1-sinx)^-2(-cosx)

Answer this Question

Related Questions

Calculus: Derivatives - I'm having trouble understanding what derivatives in...
Calculus - show that the curves r=asin(è) and r=acos(è) intersect ...
General - Please understand that I am not upset with anyone or whatever I just ...
Calculas - Can someone walk me through the following questions: Partial ...
Anti-Derivatives - find the antiderivative of f(x) = x^3(x-2)^2 Someone help me ...
calculus quick question - g(x)= sqrt(1-4x^2) Can someone help me find the first ...
Criminal Justice - I need to answer these two questions but I cannot find any ...
Calculus - Find a formula for the derivatives of the function m(x)=1/(x+1) IS ...
calculus - Just doing example questions to better understand. Find all first and...
calculus - find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^...

For Further Reading

First Name:
School Subject:
Answer: