Exercise 3.1. Find the derivative of the following functions: write the solution of each number

Question

2. g(x) = x sinx - 5 cosx at x=π

ans. g'(л) = -π

3. f(y) 3sec y tan y

ans. f'(x)=6sec³y - 3 sec y

5. y= sin²(3x²-1)

ans. y'= 6xsin(6x²-2)

6. P(t)= 4csc(sin3t)

ans. P'(t)=-12(cos3t)csc(sin3t)cot (sin3t)

Answer 1

desmos.com/calculator/zr5wriso3g

For explanations to the problems not addressed in the video, visit the above Desmos graph, prepared to take some notes on how to achieve the final solution.