Power Rule: Basic and Tricky

$$f\left(x\right)=x^7$$  . Find $$f'\left(x\right)$$  .

$$f\left(x\right)=-3x^4-6x+8$$  . Find $$f'\left(x\right)$$  .

This one needs some "prework"... Do the algebra that will allow you to use power rule and then find the derivative of that. Pick the most simplified version.

$$f\left(x\right)=\left(x-3\right)\left(4x^3+x^2\right)$$

This one also needs some prework... Do same instructions as the last one.

$$f\left(x\right)=\frac{3x^3+7x^{10}}{x^2}$$  

$$f\left(x\right)=x^{-6}$$  . Find $$f'\left(x\right)$$  and write it in simplified form.

$$f\left(x\right)=x^{-1}$$  . Find f'(x) and write it in simplified form.

$$f\left(x\right)=\sqrt[]{x}$$  Find f'(x) and write it in the most simplified version.

$$f\left(x\right)=5\sqrt[]{x}$$  . You know the deal. Simplified version.

$$f\left(x\right)=4\ \sqrt[3]{x}$$  . This time select ALL of the versions that are correct, not just the most official one.

$$f\left(x\right)=4\ \sqrt[3]{x}$$  . This is the exact same question as the last one. This time pick the two that are "officially" right.