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4.03 Using 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+4x37x2+8x9

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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Outcomes

MA12-3

applies calculus techniques to model and solve problems

MA12-6

applies appropriate differentiation methods to solve problems

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