# Test: Differentiation II - Normal

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Question 1:   Find a derivative of the function $y={x}^{2}+7x-1$
$y\text{'}=7$
$y\text{'}={x}^{2}+7x-1$
$y\text{'}=2x+7$
$y\text{'}=2x$
Question 2:   Find a derivative of the function $y={2}^{x}$
$y\text{'}={2}^{x}$
$y\text{'}={2}^{x}\mathrm{ln}\left(2\right)$
$y\text{'}=\mathrm{ln}\left({2}^{x}\right)$
$y\text{'}=x\mathrm{ln}\left(2\right)$
Question 3:   Find a derivative of the function $y=7$
$y\text{'}=1$
$y\text{'}=x$
$y\text{'}=7$
$y\text{'}=0$
Question 4:   Find a derivative of the function $y={e}^{7x}$
$y\text{'}=7x$
$y\text{'}=7{e}^{7x}$
$y\text{'}={e}^{7x}$
$y\text{'}=7{e}^{x}$
Question 5:   Find the gradient of the function $y={x}^{2}$ at the point ${x}_{0}=-1$
$k=1$
$k=-2$
$k=2$
$k=-1$
Question 6:   Find the gradient of the function $y=2\mathrm{cos}\left(x\right)$ at the point ${x}_{0}=\frac{\pi }{2}$
$k=2$
$k=0$
$k=-2$
$k=1$
Question 7:   Find the gradient of the function $y={x}^{3}+2x$ at the point ${x}_{0}=0$
$k=-1$
$k=2$
$k=1$
$k=0$
Question 8:   Find the gradient of the function $y=5x$ at the point ${x}_{0}=15$
$k=5$
$k=0$
$k=75$
$k=15$
Question 9:   The function s is defined by: $s\left(t\right)=7t+3$, find $s\text{'}\left(t\right)$
$v=5$
$v=3$
$v=6$
$v=7$
Question 10:   The function s is defined by: $s\left(t\right)=2t$, find $s\text{'}\left(t\right)$
$v=9$
$v=2$
$v=6$
$v=0$