What is the derivative of 24sqrt(x)-4x ?

The derivative of 24sqrt(x)-4x is (12)/(sqrt(x))-4

What is the first derivative of 24sqrt(x)-4x ?

The first derivative of 24sqrt(x)-4x is (12)/(sqrt(x))-4

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\frac{d}{d x} (24 x - 4 x)

\frac{12}{x} - 4

Solution steps

\frac{d}{d x} (24 x - 4 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (24 x) - \frac{d}{d x} (4 x)

\frac{d}{d x} (24 x) = \frac{12}{x}

\frac{d}{d x} (4 x) = 4

= \frac{12}{x} - 4

\frac{8 x}{x}

\int \frac{x ^{3}}{2} + \frac{1}{2 x ^{3}} d x

\int_{0}^{\frac{π}{2}} (cos (x)) d x

\int \frac{11}{12} x^{2} + \frac{1}{12} x d x

What is the derivative of 24sqrt(x)-4x ?
The derivative of 24sqrt(x)-4x is (12)/(sqrt(x))-4
What is the first derivative of 24sqrt(x)-4x ?
The first derivative of 24sqrt(x)-4x is (12)/(sqrt(x))-4