Composite, Implicit, and Inverse Functions

Calculate the third derivative of the function $f(x) = 3x^4 + 2x^3 - 5x^2 + 6x - 7$

What is the second derivative of the function $f(x) = x^2$?

If the function $f(x) = e^{-x^2}$ has its fourth derivative evaluated at $x=0$, which value does it correspond to?

For what value of k does the higher-order derivative formula $\frac{d^n}{dx^n}(k \cdot e^{ax})=k \cdot a^n \cdot e^{ax}$ hold true for all natural numbers n?

What is the fourth derivative of the function given by $g(t) = t^4 - 5t^2 + t -7$?

What is the second derivative of the function $f(x) = 3x^4 - 2x^3 + 5x^2 - 7x + 1$?

What does finding the fourth-order derivative at a point tell us about the graph of function $h(x)$?

Given that the second derivative of a function is given by $\frac{d^{2}y}{dx^{2}}=6e^{2t}$, what is its fourth derivative?

Calculate the derivative of the function $f(x) = \frac{1}{x^2}$.

If a displacement function is defined as $s(t)=5\cos(t)+t\sin(t)$ for time t in seconds, what does its second time-derivative represent at any instant t?