11. Differentiation
iGCSE (2021 Edition)
11.02 Differentiating x^n for integer n
Interactive practice questions
Consider the function $f\left(x\right)=x^n$f(x)=xn, where $n$n is any positive integer.
Complete the following table. (Use the ^ key to create powers).
| $f\left(x\right)$f(x) | $f'\left(x\right)$f′(x) |
|---|---|
| $x$x | $\editable{}$ |
| $x^2$x2 | $\editable{}$ |
| $x^3$x3 | $\editable{}$ |
| $x^4$x4 | $\editable{}$ |
| $x^n$xn | $\editable{}$ |
Easy
1min
Determine the derivative of $y=-6$y=−6 with respect to $x$x.
Easy
< 1min
Determine the derivative of $y=x^7$y=x7.
Easy
< 1min
Determine the derivative of $y=x^{-7}$y=x−7.
Easy
< 1min
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