Free Printable Differentiation (1.1

1.

Differentiate $y=4x+3$

a)

4

b)

7

2.

$y=3x^2+3x$

a)

$\frac{\text{d}x}{\text{d}y}=6x^2+3x$

b)

$\frac{\text{d}x}{\text{d}y}=6x$

c)

$\frac{\text{d}x}{\text{d}y}=6x+3$

3.

$y=10+4x$

a)

4

b)

10

c)

14

4.

$y=\tan\ 3x$

a)

$\frac{\text{d}x}{\text{d}y}=\left(\sec^23x\right)\times3=3\sec^23x$

b)

$\frac{\text{d}x}{\text{d}y}=3\ \left(\sec^2x\right)\times3=3\sec^2x$

5.

$y=\cos9x$

a)

$\frac{\text{d}x}{\text{d}y}=\left(-\sin x\right)\times9=-9\sin\ x$

b)

$\frac{\text{d}x}{\text{d}y}=\left(-\sin\ 9x\right)\times9=-9\sin\ 9x$

6.

$y=3e^x$

a)

$\frac{\text{d}x}{\text{d}y}=e^{3x}$

b)

$\frac{\text{d}x}{\text{d}y}=3e^x$

7.

$y=3e^{2x}$

a)

$\frac{\text{d}x}{\text{d}y}=6e^x$

b)

$\frac{\text{d}x}{\text{d}y}=6e^{2x}$

8.

$y=2\ln x$

a)

$\frac{\text{d}x}{\text{d}y}=\frac{1}{2x}$

b)

$\frac{\text{d}x}{\text{d}y}=\frac{2}{x}$

9.

$y=\ln6x$

a)

$\frac{\text{d}x}{\text{d}y}=\frac{6}{x}$

b)

$\frac{\text{d}x}{\text{d}y}=\frac{1}{6x}$

c)

$\frac{\text{d}x}{\text{d}y}=\frac{1}{x}$

10.

$y=e^{3x^2}$

a)

$\frac{\text{d}x}{\text{d}y}=e^{6x}$

b)

$\frac{\text{d}x}{\text{d}y}=e^{3x^2}\times6x=\ 6xe^{3x^2}$

Differentiation (1.1 - 1.4)

Total questions: 10

Worksheet time: 6mins

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