# Test: Differentiation III - Normal

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Question 1:   Find a derivative of the function $y={x}^{5}+{x}^{2}$
$y\text{'}={x}^{4}+2x$
$y\text{'}=2x$
$y\text{'}=5{x}^{4}+2x$
$y\text{'}=4{x}^{4}+2x$
Question 2:   Find a derivative of the function $y={e}^{2x}$
$y\text{'}=2{e}^{2x}$
$y\text{'}={e}^{x}$
$y\text{'}={e}^{2x}$
$y\text{'}=2{e}^{x}$
Question 3:   Find a derivative of the function $y=20$
$y\text{'}=20$
$y\text{'}=1$
$y\text{'}=x$
$y\text{'}=0$
Question 4:   Find a derivative of the function $y=5{x}^{3}$
$y\text{'}=15{x}^{3}$
$y\text{'}=3{x}^{2}$
$y\text{'}=5{x}^{2}$
$y\text{'}=15{x}^{2}$
Question 5:   Find the gradient of the function $y={x}^{5}+20$ at the point ${x}_{0}=2$
$k=52$
$k=60$
$k=1$
$k=80$
Question 6:   Find the gradient of the function $y=\mathrm{cos}\left(2x\right)$ at the point ${x}_{0}=\frac{\pi }{4}$
$k=0$
$k=1$
$k=2$
$k=-2$
Question 7:   Find the gradient of the function $y={x}^{3}-5x$ at the point ${x}_{0}=1$
$k=0$
$k=-1$
$k=-2$
$k=1$
Question 8:   Find the gradient of the function $y=8x$ at the point ${x}_{0}=3$
$k=3$
$k=0$
$k=8$
$k=24$
Question 9:   The function s is defined by: $s\left(t\right)=3t+2$, find $s\text{'}\left(t\right)$
$v=3$
$v=5$
$v=1$
$v=4$
Question 10:   The function s is defined by: $s\left(t\right)=20t+15$, find $s\text{'}\left(t\right)$
$v=5$
$v=35$
$v=20$
$v=15$