# Calculus

Given f(x) = csc^4(5x^2-3x+1), find f'(x). Show all work.

1. 👍 0
2. 👎 0
3. 👁 109
1. If u = 5x^2-3x+1,

f(u) = csc^4(u)
f'(x) = f'(u)*u' = 4 csc^3(u) (-csc(u)cot(u)) u'
u' = 10x-3

Now just do the substitution.

1. 👍 0
2. 👎 0
posted by Steve

## Similar Questions

1. ### Math

Given: csc = - 17/15 where 270 < 360 cot = -3/4 where 90 < 180 Find the exact value of sin. Show all work.

asked by Anonymous on January 19, 2011
2. ### pre - CALCULUS

Verify the identity. Show your work. cot θ ∙ sec θ = csc θ

asked by Ciara on April 9, 2015
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. ### trig

prove the identity: csc x-1/csc x+1 = cot^x/csc^x+2 csc x+1

asked by shela on December 16, 2010
1. ### pre-cal

Find the EXACT VALUE of csc(-11pi/12) If that angle is in radians, it is easy. A full circle has 2PI radians...or 360 deg so 22PI/24 is the same as 22*15 deg, or -30 deg. The 30 deg triangle is well known. The sin is 1/2, so the

asked by ethan on May 16, 2007
2. ### Trig verifying identities

I am having trouble with this problem. sec^2(pi/2-x)-1= cot ^2x I got : By cofunction identity sec(90 degrees - x) = csc x secx csc-1 = cot^2x Then split sec x and csc-1 into two fractions and multiplied both numerator and

asked by Hutch on March 9, 2015
3. ### pre cal

can someone please show me how to verify this identity? (sec x/csc x minus cot x) minus (sec x/csc x + cot x)= 2 csc x

asked by Vania on May 12, 2011
4. ### Trignometry

Use the appropriate reciprocal identity to find the approximate value of sin θ for the given value of csc θ. Use a calculator. csc θ = 2.15750581

asked by Dave on September 8, 2017
5. ### trig 30

For csc^2 A-1/cot A csc A, what is the simplest equivalent trig expression? The answers I have to choose from are sin A, cosA, tan A or csc A, but I don't know how?? csc theta= 1/sin theta but its ^2. Help please I don't even no

asked by Tye on March 10, 2010

More Similar Questions