# Calculus

How do you find the derivative of y=sinxtan^3(x)?

1. 👍 0
2. 👎 0
3. 👁 44
1. use the product rule

y = sinx tan^3(x)
y' = cosx tan^3(x) + sinx (tan^3(x))'
for tan^3(x), use the chain rule and you get

y' = cosx tan^3(x) + sinx(3tan^2(x) sec^2(x))

Now we can massage things a bit:

sin^3/cos^2 + 3sin^3/cos^4
sin^3*cos/cos^3 + 3sin^3/cos^4
tan^3(cos + 3sec)

lots of ways

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### calc

derivative of (x^3/6)+(1/2x)? i got (x^2/2)-(1/2x^2) is that correct? and then wut is the (F'(x))2?...meaning the derivative squred? if you meant (1/2)x^2 - 1/(2x^2) you are correct I don't think they are looking for the square of

asked by MARY on May 6, 2007
2. ### Calculus - derivatives

Okay, I want to find the derivative of (x^x)^(x^x)... Well, I already went through the process of finding the derivative of just x^x (I used ln to do this). This is what I found... dy/dx = x^x(lnx+1) So now I want to find the

asked by Lucy X on November 29, 2009
3. ### Calculus

1.) Find the derivative of tan (sec x). 2.) Find the derivative if 1/x in four ways, using the limit process, power rule, quotient rule and implicit differentiation. 3.) Show that the derivative of sec^-1 x is 1/(|x|*sqrt(x^2

asked by Anonymous on February 24, 2015
4. ### Calculus

R=M^2(c/2-m/3) dR/dM=CM-M^2 I found the derivative. Now how would I find the vale of M that maximize the derivative dR/dM? set it to zero, and solve for m. You get two solutions. Use the second derivative to see which one is the

asked by Anonymous on May 29, 2007
5. ### Calculus (Help)

Also I would like to know how to set this problem up in finding the answer: Find the second derivative. y= sqrt(3x+4) Thanks, P.S. I tried taking 3x+4 and squaring it to the 1/2. I thought that might've been the same, then I took

asked by Confused on February 21, 2007
6. ### Chain Rule

Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x

asked by Matt on September 26, 2007
7. ### Calculus

Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x

asked by Matt on September 30, 2007
8. ### Calculus

Any help would be much appreciated with the steps involved in each problem given. Thank you. 1) Find derivative if y =cot x + sin x 2) Find derivative if y = (3x+5)^8 3) Find derivative if y = x csc x 4) Find derivative if y = x

asked by Matt on September 30, 2007
9. ### calculus

Find the first and second derivative - simplify your answer. y=x/4x+1 I solved the first derivative and got 1/(4x+1)^2 Not sure if I did the first derivative right and not sure how to do the second derivative.

asked by Janet on March 16, 2011
10. ### Calculus--> bobpursley

How do you get m=0? from taking the second derivative? does c=1? Can you check my work on how I get the derivative of R=M^2(c/2-m/3) NEXT R=1/2(CM^2)-1/3(M^3) NEXT dR/dM=CM-M^2. I checked in the back, and that was the answer for

asked by Anonymous on May 30, 2007

More Similar Questions