a) $y = 3x^4$ $$y\textsc\char13=12x^3$$ b) $f(x) = -2x^5$ $$f\textsc\char13(x)=-10x^4$$ c) $y = 3x^-2$ $$y\textsc\char13=-6x^-3$$ d) $f(x) = \frac23x^4 - 4x^3$ $$f\textsc\char13(x)= \frac23 \cdot 4x^3-12x^2$$ e) $y = 4x^3-5x$ $$y\textsc\char13=12x^2-5$$ f) $f(x) = -2^4+3x^2-x+1$ (…)