Differentiation Past Paper Questions

(a)  Given that  $y=x^3+2x^2-1$  , determine 

(a) Differentiate the expression  $\left(1+2x\right)^3\left(x+3\right)$  with respect to x, simplifying you answer.

(a) Find  $\frac{dy}{dx}$  given that  $y=\sqrt{5x^2-4}$  , simplifying your answer.

(a) Differentiate the following expression with respect to x, simplifying your answer.

(a) The equation of a curve is  $y=3+4x-x^2$  . The point (3,6) lies on the curve. Find the equation f the tangent to the curve at P , giving your answer in the form ax + by +c =0, where a,b,c  $\in Z$  .

(a) Given that  $y=x^3-3x^2+2\$  . Find

(a) Differentiate the following expression with respect of x, simplifying your answer.