NZ Level 7 (NZC) Level 2 (NCEA)
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Derivative of a polynomial (expansion then power rule)

Interactive practice questions

Consider the function $f\left(x\right)=\frac{4}{9}\left(-4x-8\right)$f(x)=49(4x8)

a

Expand $f\left(x\right)$f(x)

b

Now find the derivative function $f'\left(x\right)$f(x).

Easy
Approx 2 minutes
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Consider the function $y=\left(6x+5\right)\left(x+3\right)$y=(6x+5)(x+3).

Differentiate $y=\left(3x+2\right)\left(7x+6\right)$y=(3x+2)(7x+6).

We want to differentiate $y=2x^2\left(7x+2\right)$y=2x2(7x+2).

Outcomes

M7-10

Apply differentiation and anti-differentiation techniques to polynomials

91262

Apply calculus methods in solving problems

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