Average Vs Instantaneous Rates of Change
Interactive practice questions
Consider the function $f\left(x\right)=2$f(x)=2 drawn below.
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a
Calculate the average rate of change between $x=3$x=3 and $x=6$x=6.
b
State the gradient of the tangent at the point $x=3$x=3.
Easy
< 1min
Consider the function $f\left(x\right)=2x+3$f(x)=2x+3 drawn below.
Easy
1min
Consider the function $f\left(x\right)=-\frac{\left(x-8\right)^2}{3}+7$f(x)=−(x−8)23+7.
Easy
2min
Consider the function $f\left(x\right)=-\frac{\left(x-4\right)^2}{2}+6$f(x)=−(x−4)22+6.
Medium
2min
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