What is the correct way to solve this problem? Explain step by step. Thank you.
1 Answer
Sep 22, 2017
# dy/dx = tanxsecx+ sinx #
Explanation:
We have:
# y = sinx tanx#
We can differentiate using the product rule:
# dy/dx = (sinx)(d/dx tanx) + (d/dx sinx)(tanx) #
# \ \ \ \ \ = (sinx)(sec^2x) + (cosx)(tanx) #
# \ \ \ \ \ = sinx(1/cos^2x) + cosx(sinx/cosx) #
# \ \ \ \ \ = (sinx)/(cosx)*1/cosx + sinx #
# \ \ \ \ \ = tanxsecx+ sinx #
