Find the derivative of f(x) (csc(2x^2+1)^4

1. 👍 0
2. 👎 0
3. 👁 78
1. just use the chain rule:

f = u^4
u = csc(v)
v = 2x^2+1

f' = 4u^3 u'
u' = -csc(v) cot(v) v'
v' = 4x

So,

f' = 4 (csc(2x^2+1)^3 * (-csc(2x^2+1)*cot(2x^2+1)) * (4x)
= -16x csc^4(2x^2+1) cot(2x^2+1)

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### 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
2. ### 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
3. ### 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
4. ### derivatives

How do you find the derivative of (6 csc x)/x?

asked by hannah on October 28, 2011
5. ### calculus

find the derivative of f(x)=cot(3x)csc^2(3x)

asked by jackie on December 8, 2009
1. ### derivatives

how do u find the derivative of (csc x)^7 -cos 4x???

asked by hannah on October 27, 2011
2. ### 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
3. ### Trigonometry

Hello all, In our math class, we are practicing the trigonometric identities (i.e., sin^2(x)+cos^2(x)=1 or cot(x)=cos(x)/sin(x). Now, we are working on proofs that two sides of an equation are equal (for example, sin(x)*csc(x)=1;

asked by Timothy on February 25, 2008
4. ### Alg2/Trig

Find the exact value of the trigonometric function given that sin u = 5/13 and cos v = -3/5. (Both u and v are in Quadrant II.) Find csc(u-v). First of all, I drew the triangles of u and v. Also, I know the formula of sin(u-v) is

asked by Vincent on June 4, 2009
5. ### Calculus

Can someone help me with finding the derivative of this function? y = -( csc x)2 (cos-1(1-x2))

asked by June on March 11, 2014

More Similar Questions