Differentiate... How to solve this type of problem? y = cos^2(x^2 + x^3)

Step-by-step explanation:

Step(i):-

Given y = cos² (x² + x³)  ....(i)

By using differentiation formulas

a)    

b)    

Step(ii):-

    Differentiating equation (i) with respective to 'x'

First apply formula  

Now we will apply formula

Again apply formula  

we know that trigonometric formulas

Sin 2θ  = 2 sinθ cosθ

Final -