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Popular >

derivative of f(x)= 4/3 x-7

Solution

derivative of

f (x) = \frac{4}{3} x - 7

Solution

\frac{4}{3}

Solution steps

\frac{d}{d x} (\frac{4}{3} x - 7)

Simplify

\frac{4}{3} x - 7 : \frac{4 x}{3} - 7

= \frac{d}{d x} (\frac{4 x}{3} - 7)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{4 x}{3}) - \frac{d}{d x} (7)

\frac{d}{d x} (\frac{4 x}{3}) = \frac{4}{3}

\frac{d}{d x} (7) = 0

= \frac{4}{3} - 0

Simplify

= \frac{4}{3}

Popular Examples

(d^3)/(dx^3)(1/(x^2))

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(dy)/(dt)=((y+1))/((t+1))

\frac{d y}{d t} = \frac{( y + 1 )}{( t + 1 )}

integral from 4 to 9 of (x-3)/(sqrt(x))

\int_{4}^{9} \frac{x - 3}{x} d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)= 4/3 x-7 ?
The derivative of f(x)= 4/3 x-7 is 4/3
What is the first derivative of f(x)= 4/3 x-7 ?
The first derivative of f(x)= 4/3 x-7 is 4/3