3. Techniques of Differentiation

Which of the following statements about differentiation is true?

Given the initial-value problem: $\frac{d^{2}x}{d{t}^2}+c^{2}x=F_0\sin (ct)$, $x\left(0\right)=0$, $x^{\prime }\left(0\right)=0$, what is the general solution for $x\left(t\right)$?

Derivatives from a graph Let F = f + g and G = 3f - g, where the graphs of f and g are shown in the figure. Find the following derivatives.

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G'(2)