11. Differentiation
Standard Level
11.12 Graphs and the second derivative
Interactive practice questions
Suppose $y=5x^8$y=5x8.
a
Find $\frac{dy}{dx}$dydx.
b
Find $\frac{d^2y}{dx^2}$d2ydx2.
c
Find $\frac{d^3y}{dx^3}$d3ydx3.
d
Find $\frac{d^4y}{dx^4}$d4ydx4.
e
Find $\frac{d^5y}{dx^5}$d5ydx5.
Easy
2min
Suppose $y=\frac{2}{x^5}$y=2x5.
Easy
2min
$y=-2x^4+4x^3-7x^2+8x-9$y=−2x4+4x3−7x2+8x−9
Easy
5min
Find the second derivative, $f''\left(x\right)$f′′(x), of $f\left(x\right)=x^{\frac{1}{7}}$f(x)=x17.
Easy
1min
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