Differentiation
New Zealand
Level 7 - NCEA Level 2
Rate of change functions
Interactive practice questions
Consider the function $f\left(x\right)=7-x^2$f(x)=7−x2.
a
Find an expression for the derivative $f'\left(x\right)$f′(x) using first principles.
Show all steps of working.
b
Hence calculate the gradient of $f\left(x\right)$f(x) at the point where $x=-1$x=−1.
Easy
5min
Consider the function $f\left(x\right)=x^2+3x+4$f(x)=x2+3x+4.
Easy
5min
Consider the function $f\left(x\right)=x^3$f(x)=x3.
Easy
5min
Consider the function $f\left(x\right)=x^4$f(x)=x4.
Medium
5min
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