`f(x) = x^2 + 5 - 3x^-2` Find the derivative of the function.
The derivative of the first term can be solved using the power rule.
`d/dx x^n = nx^(n-1)`
The derivative of `x^2` is `2x` .
The derivative of a constant is always zero.
Use the power rule again to solve `-3x^(-2)` .
`-2(-3)(x^(-3)) = 6/x^3`
Combine the terms.
The derivative is: `2x+6/x^3`
You can also use a Power Rule for the first 2 terms and then use a quotient rule for the last term by bringing the negative exponent down.
Therefore, if we are given,
Then, it can be written as,
Take the derivative,
Simplify it all down and you should get,
Note that you should get the same answer if you do the other method of using a power rule on all three terms. If you don't, then check your work because you made a mistake along the way.