Fundamentals of Differentiation

Find the derivative of $f(x) = 3x^2 + 2x$.

What is the derivative of $f(x) = 3(x^2 + 1)$?

Find the derivative of $f(x) = 5x^2 - 2x$.

Using basic differentiation rules, what is the derivative of a constant function, such as $f(x)=7$?

What is the second derivative of the function $h(t) = t^4 - \\ln(t)$ at point where t equals e?

Find the derivative of $f(x) = 5x - 3$.

What is the derivative of $f(x) = 3x + 4$?

If $f(x)$ is differentiable at $x = a$, which statement must be true about the function at that point?

What is the third derivative of $\ln( \left|x\right| )$ at $x=-1$ after rectifying its domain for differentiation purposes?

Using product rule, what is the derivative of $(x^2)(e^x)$?