Question

11. Find the derivative of fox) = tan (ax +b). by first principle.​

Answer 1

Answer:

Its very ez.

ddxtan(ax+b)=asec2(ax+b)

Explanation:

Using the derivative definition, if:

f(x)=tan(ax+b)

Then, the derivative f'(x) is given by:

f'(x)=limh→0f(x+h)−f(x)h

         =limh→0tan(a(x+h)+b)−tan(ax+b)h

         =limh→0tan((ax+b)+ah)−tan(ax+b)h

     

Hope so attachment will help you a lot.