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iGCSE (2021 Edition)

11.20 Small increments and approximations

Interactive practice questions

Consider the function $y=$y=$f\left(x\right)=-0.6x^2+11$f(x)=0.6x2+11

a

Determine $f'\left(x\right)$f(x)

b

Use the formula $\delta y$δy$\approx$$f'\left(x\right)\times\delta x$f(x)×δx to calculate the approximate change in $y$y when $x$x changes from $2$2 to $2.01$2.01

Easy
2min

Consider the function $y=$y=$f\left(x\right)=\frac{4}{x^2}+\sqrt{x}$f(x)=4x2+x

Easy
3min

Consider the volume $V\left(h\right)$V(h) of a cone that has a radius measuring $7$7 cm and a variable height $h$h cm.

Medium
7min
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Outcomes

0606C14.5D

Apply differentiation to small increments and approximations.

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