What is the derivative of f(x)=(375)/(x^4) ?

The derivative of f(x)=(375)/(x^4) is -(1500)/(x^5)

What is the first derivative of f(x)=(375)/(x^4) ?

The first derivative of f(x)=(375)/(x^4) is -(1500)/(x^5)

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derivative of

f (x) = \frac{375}{x ^{4}}

- \frac{1500}{x ^{5}}

Solution steps

\frac{d}{d x} (\frac{375}{x ^{4}})

Take the constant out:

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

= 375 \frac{d}{d x} (\frac{1}{x ^{4}})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 375 \frac{d}{d x} (x^{- 4})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 375 (- 4 x^{- 4 - 1})

Simplify

375 (- 4 x^{- 4 - 1}) : - \frac{1500}{x ^{5}}

= - \frac{1500}{x ^{5}}

\frac{d}{d x} (10 x + 5)

\int 3 x^{2} e^{- x^{3}} d x

\frac{d}{d x} (x^{2} + 4 x + 7)

f (t) = cos^{2} (t)

\frac{d}{d x} (3 x^{2} + 6)

What is the derivative of f(x)=(375)/(x^4) ?
The derivative of f(x)=(375)/(x^4) is -(1500)/(x^5)
What is the first derivative of f(x)=(375)/(x^4) ?
The first derivative of f(x)=(375)/(x^4) is -(1500)/(x^5)