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(iii)
x^(3)+13x^(2)+32 x+20

(iii) $x^{3}+13 x^{2}+32 x+20$

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Find derivatives of using multiple formulae

Full solution

Q. (iii)

x^{3}+13 x^{2}+32 x+20

Identify Function: Identify the function to differentiate. $\newline$ Function: $x^{3} + 13x^{2} + 32x + 20$ .
Apply Power Rule: Apply the power rule to each term. $\newline$ Derivative of $x^{3}$ = $3x^{2}$ . $\newline$ Derivative of $13x^{2}$ = $26x$ . $\newline$ Derivative of $32x$ = $32$ . $\newline$ Derivative of $20$ = $0$ .
Combine Derivatives: Combine the derivatives. $\newline$ $(\frac{d}{dx})(x^{3} + 13x^{2} + 32x + 20) = 3x^{2} + 26x + 32 + 0$ .

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