NZ Level 7 (NZC) Level 2 (NCEA)
topic badge
Simple applications (using power rule only)

Interactive practice questions

Find the gradient of $f\left(x\right)=x^5-3x^4$f(x)=x53x4 at the point $\left(3,0\right)$(3,0).

Denote this gradient by $f'\left(3\right)$f(3).

Easy
Approx 2 minutes
Sign up to try all questions

Find the gradient of $f\left(x\right)=-\frac{27}{x^2}$f(x)=27x2 at the point $\left(3,-3\right)$(3,3).

Denote this gradient by $f'\left(3\right)$f(3).

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).

Find the gradient of $f\left(x\right)=\frac{6}{\sqrt{x}}$f(x)=6x at the point $\left(25,\frac{6}{5}\right)$(25,65).

Denote this gradient by $f'\left(25\right)$f(25).

Outcomes

M7-10

Apply differentiation and anti-differentiation techniques to polynomials

91262

Apply calculus methods in solving problems

What is Mathspace

About Mathspace