NZ Level 7 (NZC) Level 2 (NCEA)
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Tangents (gradients and equations using power rule)

Interactive practice questions

By considering the graph of $f\left(x\right)=2x$f(x)=2x, find $f'$f$\left(-5\right)$(5).

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By considering the graph of $f\left(x\right)=-3x$f(x)=3x, find $f'$f$\left(-2\right)$(2).

Consider the parabola $f\left(x\right)=x^2+3x-10$f(x)=x2+3x10.

Consider the curve given by the function $f\left(x\right)=x^3+5x$f(x)=x3+5x.

Outcomes

M7-10

Apply differentiation and anti-differentiation techniques to polynomials

91262

Apply calculus methods in solving problems

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