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 | $\editable{}$ |
Determine the derivative of $y=-6$y=−6 with respect to $x$x.
Determine the derivative of $y=x^7$y=x7.
Determine the derivative of $y=x^{-7}$y=x−7.