What is the derivative of 47x^3-75sqrt(x) ?

The derivative of 47x^3-75sqrt(x) is 141x^2-(75)/(2sqrt(x))

What is the first derivative of 47x^3-75sqrt(x) ?

The first derivative of 47x^3-75sqrt(x) is 141x^2-(75)/(2sqrt(x))

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\frac{d}{d x} (47 x^{3} - 75 x)

141 x^{2} - \frac{75}{2 x}

Solution steps

\frac{d}{d x} (47 x^{3} - 75 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (47 x^{3}) - \frac{d}{d x} (75 x)

\frac{d}{d x} (47 x^{3}) = 141 x^{2}

\frac{d}{d x} (75 x) = \frac{75}{2 x}

= 141 x^{2} - \frac{75}{2 x}

What is the derivative of 47x^3-75sqrt(x) ?
The derivative of 47x^3-75sqrt(x) is 141x^2-(75)/(2sqrt(x))
What is the first derivative of 47x^3-75sqrt(x) ?
The first derivative of 47x^3-75sqrt(x) is 141x^2-(75)/(2sqrt(x))