What is the derivative of f(x)= 1/(7e^{-4)x} ?

The derivative of f(x)= 1/(7e^{-4)x} is -(e^4)/(7x^2)

What is the first derivative of f(x)= 1/(7e^{-4)x} ?

The first derivative of f(x)= 1/(7e^{-4)x} is -(e^4)/(7x^2)

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derivative of

f (x) = \frac{1}{7 e ^{- 4} x}

- \frac{e ^{4}}{7 x ^{2}}

Solution steps

\frac{d}{d x} (\frac{1}{7 e ^{- 4} x})

Take the constant out:

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

= \frac{1}{7 e ^{- 4}} \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

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

= \frac{1}{7 e ^{- 4}} \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

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

= \frac{1}{7 e ^{- 4}} (- 1 \cdot x^{- 1 - 1})

Simplify

\frac{1}{7 e ^{- 4}} (- 1 \cdot x^{- 1 - 1}) : - \frac{e ^{4}}{7 x ^{2}}

= - \frac{e ^{4}}{7 x ^{2}}

lo g_{10} (\frac{1 + x}{n})

\frac{x ^{2}}{a ^{2}}

3 sin^{2} (x) + 3 cos^{2} (x)

\frac{ln ( x ^{2} )}{2}

f (x) = tan^{2} (sin (x))

What is the derivative of f(x)= 1/(7e^{-4)x} ?
The derivative of f(x)= 1/(7e^{-4)x} is -(e^4)/(7x^2)
What is the first derivative of f(x)= 1/(7e^{-4)x} ?
The first derivative of f(x)= 1/(7e^{-4)x} is -(e^4)/(7x^2)