What is the derivative of 75(1-5/x) ?

The derivative of 75(1-5/x) is (375)/(x^2)

What is the first derivative of 75(1-5/x) ?

The first derivative of 75(1-5/x) is (375)/(x^2)

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derivative of

75 (1 - \frac{5}{x})

\frac{375}{x ^{2}}

Solution steps

\frac{d}{d x} (75 (1 - \frac{5}{x}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 75 \frac{d}{d x} (1 - \frac{5}{x})

Apply the Sum/Difference Rule:

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

= 75 (\frac{d}{d x} (1) - \frac{d}{d x} (\frac{5}{x}))

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{5}{x}) = - \frac{5}{x ^{2}}

= 75 (0 - (- \frac{5}{x ^{2}}))

Simplify

75 (0 - (- \frac{5}{x ^{2}})) : \frac{375}{x ^{2}}

= \frac{375}{x ^{2}}

n = 1 \sum \infty (\frac{2}{5})^{n - 1}

x \to 0 lim (\frac{5 - 5 cos ( x )}{x})

t \to \infty lim (t^{4})

f (x) = x^{6} (6 x^{3} + x)^{5}

f (x) = e^{3 x} \cdot ln (4 x)

What is the derivative of 75(1-5/x) ?
The derivative of 75(1-5/x) is (375)/(x^2)
What is the first derivative of 75(1-5/x) ?
The first derivative of 75(1-5/x) is (375)/(x^2)