Recent content by ishant

  1. I

    What is the Inverse of Exponential Functions with Different Bases?

    y = 3^-x + 9^-x ln(y) = ln(3^-x + 9^-x) don't know where to go from here.
  2. I

    Value of the differential of tan(x)^cos(x) at pi/4

    Oh my god! Thank you!
  3. I

    Value of the differential of tan(x)^cos(x) at pi/4

    Homework Statement ^Homework Equations The Attempt at a Solution y = tanx^cosx lny = cosx(ln(tanx)) 1/y(dy/dx) = (sec^2x * cosx)/tanx + ln(tanx)(-sinx) at pi/4 1/y(dy/dx) = (1 * 1/sqrt(2))/1 + ln(1)(-sin(pi/4)) 1/y(dy/dx) = 1/sqrt(2) + 0 ******* ln1 = 0 *** y = tanx^cosx => 1^(1/sqrt(2))...