Fundamentals of Differentiation

What is the new exponent for the variable in the expression j(x)=-|_*_{d} when finding the derivative?

What is the derivative of the function $f(x) = x^3 - 2x^2 + 5x - 7$?

What is the derivative of $f(x) = \sqrt{x}$?

If a student is applying the power rule to differentiate the function $f(x) = x^5$, what is the derivative of this function?

Given the function $g(t) = t^{3/2}$, what would be its instantaneous rate of change at any point t using differentiation?

Which of the following functions can't be differentiated using the Power Rule?

What is the derivative of $\frac{1}{x^9}$?

What is the derivative of $x^2(2x^2+3x)$?

What is the derivative of $5x^3+2x-7$?

How do you calculate the derivative of the function $k(z)=z^{10}$?