What is (\partial)/(\partial x)(3x+9x^{17}) ?

The answer to (\partial)/(\partial x)(3x+9x^{17}) is 3+153x^{16}

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(\partial)/(\partial x)(3x+9x^{17})

\frac{\partial}{\partial x} (3 x + 9 x^{17})

3 + 153 x^{16}

Solution steps

\frac{\partial}{\partial x} (3 x + 9 x^{17})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (3 x) + \frac{\partial}{\partial x} (9 x^{17})

\frac{\partial}{\partial x} (3 x) = 3

\frac{\partial}{\partial x} (9 x^{17}) = 153 x^{16}

= 3 + 153 x^{16}

x \to 0 - lim (x^{3} cos (\frac{2}{x}))

\frac{d}{d x} (\frac{e ^{x}}{4 x ^{3}})

\int \frac{1}{1 - tan ( x )} d x

\frac{d}{d x} (\frac{- x ^{2} - 9}{( x ^{2} - 9 ) ^{2}})

What is (\partial)/(\partial x)(3x+9x^{17}) ?
The answer to (\partial)/(\partial x)(3x+9x^{17}) is 3+153x^{16}