What is the derivative of 50x-xsqrt(x) ?

The derivative of 50x-xsqrt(x) is 50-(3sqrt(x))/2

What is the first derivative of 50x-xsqrt(x) ?

The first derivative of 50x-xsqrt(x) is 50-(3sqrt(x))/2

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derivative of

50 x - x x

50 - \frac{3 x}{2}

Solution steps

\frac{d}{d x} (50 x - x x)

Simplify

50 x - x x : 50 x - x^{\frac{3}{2}}

= \frac{d}{d x} (50 x - x^{\frac{3}{2}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (50 x) - \frac{d}{d x} (x^{\frac{3}{2}})

\frac{d}{d x} (50 x) = 50

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

= 50 - \frac{3 x}{2}

What is the derivative of 50x-xsqrt(x) ?
The derivative of 50x-xsqrt(x) is 50-(3sqrt(x))/2
What is the first derivative of 50x-xsqrt(x) ?
The first derivative of 50x-xsqrt(x) is 50-(3sqrt(x))/2