Math help!

Find the derivative of tan(ln(5x))

  1. 👍 0
  2. 👎 0
  3. 👁 106
asked by Sarah
  1. let z = ln(5x)

    d/dx tan z = sec^2 z dz/dx

    but dz/dx = d/dx ln(5x) = (1/5x)5 = 1/x

    so
    (1/x)sec^2(ln(5x))

    1. 👍 0
    2. 👎 0
    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calc

    intergral of (x^3 -4x + 3)/(2x) dx would this be ln abs(x^3-4x+3) + C? I don't really understand how to solve this problem. d/dx (tan (x^2)) sec^2(x^2)(2x) would this be the correct answer to find the derivative of tan (x^2)? no,

    asked by Tammy on May 2, 2007
  2. 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
  3. Calculus 1A

    I am trying to find: dy/dx for y = sec(tan x) I have the answer, but I have no idea how to get there. I know that the derivative of sec x = sec x tan x and that the derivative of tan x is sec^2 x. But sec doesn't have an x, so

    asked by Mary on March 26, 2013
  4. Calculus

    find the derivative: d/dx int_a to x (a being the upper limit) of tan(tan(t))dt

    asked by Elena on April 22, 2011
  5. Maths Calculus Derivatives

    Find the first derivative for the following functions 1) f(x) = sin(cos^2x) cos(sin^3x) 2) f(x) = ( tan 2x - tan x ) / ( 1 + tan x tan 2x ) 3) f(x) = sin { tan ( sqrt x^3 + 6 ) } 4) f(x) = {sec^2(100x) - tan^2(100x)} / x

    asked by Yousef on October 22, 2011
  1. calculus

    find dy/dx y=ln (secx + tanx) Let u= secx + tan x dy/dx= 1/u * du/dx now, put the derivative of d secx/dx + dtanx/dx in. You may have some challenging algebra to simplify it. Use the chain rule. Let y(u) = ln u u(x) = sec x + tan

    asked by amy on March 9, 2007
  2. calculus

    5. Find the equation of the tangent line to the graph of f(a) = -sec(a) at the point (0, -1) 6. Differentiate y = sin(x)tan(x). 7. Find f '(x) for f(x) = sin(x)cot(x). 8. Find the derivative of the function f(x) = cos^2(x) +

    asked by gerald on January 15, 2015
  3. Calculus

    Using the Fundamental theorem of Calculus find the derivative of F(x) = sec(3x) + ∫ [e^-(t^(2))] Integral from ( 0 to tan(3x) ) f(x) = sec(x) f'(x)= sec(x)tan(x) and according to the fundamental ToC, u plug the x value of the

    asked by Cold on November 21, 2018
  4. calculus

    1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))? 2. Find the derivative of f(x) = |x + 2| at the point (1, 3) 3. Find f '(x) for f(x) = -2x3 + 3x2 - x + 15. 4.

    asked by mock on January 15, 2015
  5. Trigonometry

    Find the exact value of tan(a-b) sin a = 4/5, -3pi/2

    asked by Dee on November 8, 2010
  6. maths

    Derivative of √ tan x is, Answer: A. sin 2 x/ √ tan x B. cos 2 x/ 2 √ tan x C. sec 2 x D. None of these

    asked by tej on July 16, 2010

More Similar Questions