What is the derivative of 50sqrt(x)-5x ?

The derivative of 50sqrt(x)-5x is (25)/(sqrt(x))-5

What is the first derivative of 50sqrt(x)-5x ?

The first derivative of 50sqrt(x)-5x is (25)/(sqrt(x))-5

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\frac{d}{d x} (50 x - 5 x)

\frac{25}{x} - 5

Solution steps

\frac{d}{d x} (50 x - 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (50 x) - \frac{d}{d x} (5 x)

\frac{d}{d x} (50 x) = \frac{25}{x}

\frac{d}{d x} (5 x) = 5

= \frac{25}{x} - 5

\int \frac{x ^{2} + 1}{( x - 10 ) ( x - 9 ) ^{2}} d x

(x^{2} + 81) (\frac{d y}{d x}) = 2, y (9) = 0

(x + 2)^{2} + (y - 3)^{2} = 37, (4, 2)

y^{^{'}} = r - k y

What is the derivative of 50sqrt(x)-5x ?
The derivative of 50sqrt(x)-5x is (25)/(sqrt(x))-5
What is the first derivative of 50sqrt(x)-5x ?
The first derivative of 50sqrt(x)-5x is (25)/(sqrt(x))-5