Find the derivative of the function. f(x) = 3x^4 sec2x

fx-3x4-sec2x

#1

Find the derivative of the function. f(x) = 3x^4 sec2x

Answer:

By Product Rule: (uv)’ = u’v + uv’ (here, u = 3x^4 and v =sec 2x), so f’(x) = (12x^3)(sec 2x) + (3x^4)(2 sec 2x tan 2x) = 6x^3 sec 2x (2 + x tan 2x)