NZ Level 7 (NZC) Level 2 (NCEA)
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Evaluate Derivative at a point

Interactive practice questions

Find $f'\left(2\right)$f(2) if $f'\left(x\right)=4x^3-3x^2+4x-6$f(x)=4x33x2+4x6.

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Find $f'\left(4\right)$f(4) if $f'\left(x\right)=\frac{\left(x^2-6\right)\times\left(2\right)+\left(2x\right)\left(2x\right)}{\left(x^2-6\right)^2}$f(x)=(x26)×(2)+(2x)(2x)(x26)2.

By considering the graph of $f\left(x\right)=-6$f(x)=6, find $f'\left(4\right)$f(4).

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

Outcomes

M7-10

Apply differentiation and anti-differentiation techniques to polynomials

91262

Apply calculus methods in solving problems

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