What is the derivative of y= ln abs(secx-tanx)y=ln|secx−tanx| for x>0x>0? Calculus Basic Differentiation Rules Summary of Differentiation Rules 1 Answer Andrea S. Jun 12, 2018 d/dx(ln abs(secx-tanx)) = -secx ddx(ln|secx−tanx|)=−secx Explanation: Using the chain rule: d/dx(ln abs(secx-tanx)) = 1/(secx-tanx) d/dx (secx-tanx)ddx(ln|secx−tanx|)=1secx−tanxddx(secx−tanx) d/dx(ln abs(secx-tanx)) = (secxtanx-sec^2x)/(secx-tanx) ddx(ln|secx−tanx|)=secxtanx−sec2xsecx−tanx d/dx(ln abs(secx-tanx)) = (secx(tanx-secx))/(secx-tanx) ddx(ln|secx−tanx|)=secx(tanx−secx)secx−tanx d/dx(ln abs(secx-tanx)) = -secx ddx(ln|secx−tanx|)=−secx Answer link Related questions What is a summary of Differentiation Rules? What are the first three derivatives of (xcos(x)-sin(x))/(x^2)xcos(x)−sin(x)x2? How do you find the derivative of (e^(2x) - e^(-2x))/(e^(2x) + e^(-2x))e2x−e−2xe2x+e−2x? How do I find the derivative of y= x arctan (2x) - (ln (1+4x^2))/4y=xarctan(2x)−ln(1+4x2)4? How do you find the derivative of y = s/3 + 5sy=s3+5s? What is the second derivative of (f * g)(x)(f⋅g)(x) if f and g are functions such that f'(x)=g(x)... How do you calculate the derivative for g(t)= 7/sqrtt? Can you use a calculator to differentiate f(x) = 3x^2 + 12? What is the derivative of ln(x)+ 3 ln(x) + 5/7x +(2/x)? How do you find the formula for the derivative of 1/x? See all questions in Summary of Differentiation Rules Impact of this question 2949 views around the world You can reuse this answer Creative Commons License