Find the antiderivative of \( f(x) = 5x^4 - 3x^2 + 7 \)

3. \( h(x)=x^{2}+5 x-2 \) \( \frac{d h(x)}{d x}=\lim _{\Delta x \rightarrow 0}=\frac{h(x+\Delta x)-h(x)}{\Delta x} \)

d) \( y=\operatorname{sen}\left(\ln \left(x^{3}-2\right)\right) \)

3. \( h(x)=x^{2}+5 x-2 \) \( \frac{d h(x)}{d x}=\lim _{\Delta x \rightarrow}=\frac{h(x+\Delta x)-h(x)}{\Delta x} \)

18. Fie funcția \( f: R \rightarrow R, f(x)=e^{x} \cdot\left(a x^{2}+b x+c\right) \). Determinaţi numerele reale \( a, b \) şi \( c \), ştiind că \( f(0)=0, f^{\prime}(0)=1 \) şi \( f^{\prime \prime}(0)=4 \).

Calcular \( y^{\prime}=\frac{d y}{d x} \) de la función implicit \( \frac{x^{2}}{4}+\frac{x^{2}}{9}=3 x y \) y simplificar: