Differentiating exponential, logarithmic and trigonometric functionsEdexcel International A Level Maths: Mind map

Exam questions on Differentiating exponential, logarithmic and trigonometric functions

1. The curve $C_1$ has equation $y=5e^{2x}-\ln3x$ for $x>0$.
   Find $\dfrac{d^{2}y}{dx^{2}}$.2 marks
2. The curve $C_2$ has equation $y=4\sin3x+\cos2x$, where $x$ is in radians.
   Find $\dfrac{d^{2}y}{dx^{2}}$.2 marks
3. The curve $C_3$ has equation $y=2^{x}$.
   Find the gradient of $C_3$ at $x=3$, giving your answer in exact form and to 3 significant figures.3 marks