Browse Differentiation

347 questions at your level

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

Differentiation from first principles

8 questions

LessonNot started

\displaystyle\lim_{h \to 0} \dfrac{e^{3h} - 1}{h}

is equal to

Circle your answer.

A $0$
B $1$
C $3$
D $e^3$

●●●●●Level 11 markStart

Tangents and normals

55 questions

LessonNot started

The gradient of the normal to the curve

y = 3x^2 - 2

at the point where

x = 1

is

Circle your answer.

A $6$
B $-6$
C $\dfrac16$
D $-\dfrac16$

●●●●●Level 11 markStart

Differentiating exponentials and logarithms

55 questions

LessonNot started

\displaystyle\lim_{h \to 0} \dfrac{e^{3h} - 1}{h}

is equal to

Circle your answer.

A $0$
B $1$
C $3$
D $e^3$

●●●●●Level 11 markStart

Identify the gradient of the curve

y = \ln(3x)

at the point where

x = 2

.

Circle your answer.

A $\dfrac{3}{2}$
B $\dfrac{1}{6}$
C $\dfrac{1}{2}$
D $3$

●●●●●Level 11 markStart

y = e^{3x}

has gradient at

x = 0

equal to

Circle your answer.

A $0$
B $1$
C $3$
D $e^3$

●●●●●Level 11 markStart

The chain rule

37 questions

LessonNot started

Identify the gradient of the curve

y = \ln(3x)

at the point where

x = 2

.

Circle your answer.

A $\dfrac{3}{2}$
B $\dfrac{1}{6}$
C $\dfrac{1}{2}$
D $3$

●●●●●Level 11 markStart

Convex, concave and points of inflection

37 questions

LessonNot started

y = x^3 - 6x^2 + 5

has a point of inflection where

x

is equal to

Circle your answer.

A $0$
B $2$
C $4$
D $-2$

●●●●●Level 11 markStart