Question B.5: Find the derivative of y(x) = 8x^5 + 4x³ + 2x + 7
Find the derivative of
y(x)=8 x^{5}+4 x^{3}+2 x+7
By applying Equation B.29 to each term independently and remembering that d /dx (constant) = 0, we have
\begin{aligned}&\frac{d y}{d x}=8(5) x^{4}+4(3) x^{2}+2(1) x^{0}+0 \\&\frac{d y}{d x}=40 x^{4}+12 x^{2}+2\end{aligned}
\frac{d y}{d x}=n a x^{n-1} [B.29]
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