z=cos(4 theta)

what is the derivative.

I know that the derivative of cos is -sin, but what do i do with the 4 theta. does that just become 4?

  1. 👍 0
  2. 👎 0
  3. 👁 75
asked by Joesph
  1. dz/d(theta) = -sin(4theta) * 4
    = -4sin(4theta)

    in general if
    y = cos u
    then dy/dx = -sin u (du/dx)

    1. 👍 0
    2. 👎 0
    posted by Reiny

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus 12th grade (double check my work please)

    1.)Find dy/dx when y= Ln (sinh 2x) my answer >> 2coth 2x. 2.)Find dy/dx when sinh 3y=cos 2x A.-2 sin 2x B.-2 sin 2x / sinh 3y C.-2/3tan (2x/3y) D.-2sin2x / 3 cosh 3yz...>> my answer. 2).Find the derivative of y=cos(x^2) with

    asked by anon on March 6, 2011
  2. algebra

    Can someone please help me do this problem? That would be great! Simplify the expression: sin theta + cos theta * cot theta I'll use A for theta. Cot A = sin A / cos A Therefore: sin A + (cos A * sin A / cos A) = sin A + sin A = 2

    asked by Valerie on February 18, 2007
  3. calc

    find the area between the x-axis and the graph of the given function over the given interval: y = sqrt(9-x^2) over [-3,3] you need to do integration from -3 to 3. First you find the anti-derivative when you find the

    asked by mikayla on April 18, 2007
  4. Calculus

    I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations). 1.rcos(theta)=1 x=1 2.r=2*sin(theta)+2*cos(theta) r^2=2rsin(theta)+2rcos(theta) x^2+y^2=2y+2x (a little unsure

    asked by Joshua on March 13, 2009
  5. calculus

    Differentiate both sides of the double angle identify sin 2x= 2 sin x cos x to determine an identify for cos x. Find the first derivative, second derivative, third fourth, fifth, sixth, seventh and eighth derivative. Use the

    asked by john on February 21, 2012
  6. calculus

    Could someone check my reasoning? thanx Find the derivative of the function. sin(sin[sinx]) I need to use the chain rule to solve. So I take the derivative sin(sin[sinx) first. Then multiply that by the inside which is the

    asked by XCS on May 7, 2009
  7. TRIG!

    Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1 - (3/4)sin^2 2x work on one side only! Responses Trig please help! - Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x +

    asked by hayden on February 23, 2009
  8. Derivative

    Can you help me find the derivative of y= cos(x)/1+sin(x).. the / is a fraction bar. I have a hard time finding trig derivatives because I don't really know what the derivative of cos,sin ,or tan would be honestly.

    asked by Angel on November 16, 2014
  9. Mathematics - Trigonometric Identities

    Let y represent theta Prove: 1 + 1/tan^2y = 1/sin^2y My Answer: LS: = 1 + 1/tan^2y = (sin^2y + cos^2y) + 1 /(sin^2y/cos^2y) = (sin^2y + cos^2y) + 1 x (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y + cos^2y) (cos^2y/sin^2y) =

    asked by Anonymous on November 8, 2007
  10. Precalculus

    I have a precalculus test tomorrow and I've been studying nonstop for the past few days but I've been struggling because it has been 8 years since the last math class I have taken. My question is about half-angle formulas, My

    asked by Tom on December 2, 2015
  11. Calc

    Find the derivative of a) y=cos (x/2) b) yx-3x^2 +6 = y^4 + x a) -sin (x/2)(2+x)/2^2 -sin(x/2)(x/2) b) x dy/dx + y - 6x = 4y^3 dy/dx + 3x^2 dy/dx (x -4 y^3) = 3x^2 -y +6x dy/dx = (3x^2 -y +6x)/(x -4 y^3) I used inplicit

    asked by Tammy on May 2, 2007

More Similar Questions