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

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

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

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

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derivative of

f (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

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