Saudi Secondary School Certificate · Advanced Mathematics

Differentiation and integration

30 practice questions, each with the answer and an explanation.

Practise Differentiation and integration now

Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 30 questions

If $f (x) = 4 x^{3} + 6 x^{2} - x + 5$ , find $f^{'} (- 3)$ .
If $f (x) = x^{3} + 5 x^{2} - 2 x + 1$ , find $f^{'} (1)$ .
If $f (x) = 2 x^{3} + 3 x^{2} + 6 x - 3$ , find $f^{'} (- 1)$ .
Find the gradient of $y = (4 x - 2) (1 x + 0)$ at $x = - 2$ .
Find the gradient of $y = (3 x + 2) (1 x + 4)$ at $x = 1$ .
Find the gradient of $y = (3 x + 4) (3 x + 4)$ at $x = 0$ .
Find the gradient of $y = (4 x - 3) (2 x + 1)$ at $x = 2$ .
If $y = (2 x - 1)^{4}$ , what is $\frac{d y}{d x}$ at $x = 1$ ?
If $y = (4 x - 2)^{2}$ , what is $\frac{d y}{d x}$ at $x = 2$ ?
If $y = (3 x + 2)^{4}$ , what is $\frac{d y}{d x}$ at $x = 1$ ?
If $y = (5 x - 2)^{4}$ , what is $\frac{d y}{d x}$ at $x = 0$ ?
If $y = (2 x + 1)^{4}$ , what is $\frac{d y}{d x}$ at $x = 1$ ?
If $y = (4 x + 3)^{3}$ , what is $\frac{d y}{d x}$ at $x = 1$ ?
If $y = (5 x - 2)^{2}$ , what is $\frac{d y}{d x}$ at $x = 2$ ?
The curve $y = 4 x^{3} - 6 x^{2} - 144 x$ has a local maximum at which point?
The curve $y = 6 x^{3} + 72 x^{2} + 270 x$ has a local maximum at which point?
The curve $y = 8 x^{3} + 48 x^{2} + 72 x$ has a local maximum at which point?
The curve $y = 8 x^{3} - 12 x^{2} - 288 x$ has a local maximum at which point?
The curve $y = 8 x^{3} - 48 x^{2} - 120 x$ has a local maximum at which point?
The curve $y = 4 x^{3} - 42 x^{2} + 120 x$ has a local maximum at which point?
The curve $y = 6 x^{3} + 63 x^{2} + 216 x$ has a local maximum at which point?
Evaluate $\int_{1}^{4} (6 x^{2} + 2 x) d x$ .
Evaluate $\int_{1}^{4} (4 x^{2} + 4 x) d x$ .
Find the area enclosed by $y = x^{2}$ and $y = 7 x$ .
Find the area enclosed by $y = x^{2}$ and $y = 6 x$ .
Find the area enclosed by $y = x^{2}$ and $y = 8 x$ .
Find the area enclosed by $y = x^{2}$ and $y = 4 x$ .
Find the area enclosed by $y = x^{2}$ and $y = 9 x$ .
Find the area enclosed by $y = x^{2}$ and $y = 5 x$ .
Find the area enclosed by $y = x^{2}$ and $y = 2 x$ .

Differentiation and integration

Practise Differentiation and integration now

All 30 questions

Keep practising

More Saudi Secondary School Certificate topics

Differentiation and integration in other exams

Ready for the full Saudi Secondary School Certificate test?