NZ Level 8 (NZC) Level 3 (NCEA) [In development]
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First Principles

Interactive practice questions

Consider the function $f\left(x\right)=3x+2$f(x)=3x+2.

a

Find $f\left(x+h\right)$f(x+h).

b

Find $f\left(x+h\right)-f\left(x\right)$f(x+h)f(x).

c

Find $\frac{f\left(x+h\right)-f\left(x\right)}{h}$f(x+h)f(x)h.

Easy
Approx 2 minutes
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Consider the function $f\left(x\right)=8-x$f(x)=8x.

Consider the function $f\left(x\right)=2x-3$f(x)=2x3.

Consider the function $f\left(x\right)=-5x+4$f(x)=5x+4.

Outcomes

M8-11

Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods

91578

Apply differentiation methods in solving problems

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