Differentiation
New Zealand
Level 7 - NCEA Level 2
Simple applications (using power rule only)
Interactive practice questions
Find the gradient of $f\left(x\right)=x^5-3x^4$f(x)=x5−3x4 at the point $\left(3,0\right)$(3,0).
Denote this gradient by $f'\left(3\right)$f′(3).
Easy
1min
Consider the curve given by the function $f\left(x\right)=-\frac{27}{x^2}$f(x)=−27x2.
Easy
2min
Find the gradient of $f\left(x\right)=\frac{11}{x}+\frac{10}{x^2}$f(x)=11x+10x2 at the point $\left(4,\frac{27}{8}\right)$(4,278).
Denote this gradient by $f'\left(4\right)$f′(4).
Easy
2min
Find the gradient of $f\left(x\right)=\frac{6}{\sqrt{x}}$f(x)=6√x at the point $\left(25,\frac{6}{5}\right)$(25,65).
Denote this gradient by $f'\left(25\right)$f′(25).
Easy
2min
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