Differentiation: rules and techniques

Question 1 of 10

If y = 4x², then dy/dx = ___x¹

Question 2 of 10

d/dx(x⁵) = 5x⁴.

Question 3 of 10

d/dx (xⁿ) =

Question 4 of 10

Differentiate y = x⁵ sin x.

Question 5 of 10

Given y = x³ − 6x² + 9x + 1, find dy/dx and d²y/dx² and the values of x at which dy/dx = 0.

Question 6 of 10

If y = 2x³, then dy/dx = ___x²

Question 7 of 10

Differentiate y = e^(6x).

Question 8 of 10

If y = 5x², then dy/dx = ___x¹

Question 9 of 10

If y = 4x⁵, then dy/dx = ___x⁴

Question 10 of 10

Differentiate y = (x² + 3)².