What is the derivative of 30sqrt(x)-3x ?

The derivative of 30sqrt(x)-3x is (15)/(sqrt(x))-3

What is the first derivative of 30sqrt(x)-3x ?

The first derivative of 30sqrt(x)-3x is (15)/(sqrt(x))-3

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derivative of

30 x - 3 x

\frac{15}{x} - 3

Solution steps

\frac{d}{d x} (30 x - 3 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (30 x) - \frac{d}{d x} (3 x)

\frac{d}{d x} (30 x) = \frac{15}{x}

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

= \frac{15}{x} - 3

\frac{d}{d x} (e^{- (x^{2} + y^{2})})

y sin (8 x) = x cos (2 y), (\frac{π}{2}, \frac{π}{4})

\frac{d}{d x} (5 sec (2 x))

\int y ln (y) d y

\frac{d y}{d x}, e^{2 x} sin (3 x) - e^{- 2 x} sin (2 y) = 13 x y^{2}

What is the derivative of 30sqrt(x)-3x ?
The derivative of 30sqrt(x)-3x is (15)/(sqrt(x))-3
What is the first derivative of 30sqrt(x)-3x ?
The first derivative of 30sqrt(x)-3x is (15)/(sqrt(x))-3