Calculus, MET1 2018 VCAA 1b Let `f(x) = (e^x)/(cos(x))`. Evaluate `f′(pi)`. (2 marks) Show Answers Only `text(See Worked Solutions)` Show Worked Solution `f′(x) = (e^x)/(cos(x))` `u` `= e^x` `v` `= cos(x)` `u′` `= e^x` `v′` `= −sin(x)` `f′(x)` `= (u′v – uv′)/(v^2)` `= (e^x · cos(x) + e^x sin(x))/(cos^2(x))` `f′(pi)` `= (e^pi · cospi + e^pi sinpi)/(cos^2 pi)` `= (e^pi(−1) + e^pi · 0)/((−1)^2)` `= −e^pi`