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3.025 Higher derivatives

Interactive practice questions

Suppose $y=x^3+24x^2+5x+65$y=x3+24x2+5x+65.

a

Find $\frac{dy}{dx}$dydx.

b

Find $\frac{d^2y}{dx^2}$d2ydx2.

c

Find the value of $x$x at which $\frac{d^2y}{dx^2}=0$d2ydx2=0.

Easy
1min

Suppose $y=5x^8$y=5x8.

Easy
2min

Suppose $y=\frac{2}{x}$y=2x.

Easy
2min

Suppose $y=\frac{2}{x^5}$y=2x5.

Easy
2min
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Outcomes

ACMMM108

understand the concept of the second derivative as the rate of change of the first derivative function

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