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Popular >

derivative of-4+e^{1/(2-x})

Solution

\frac{d}{d x} (- 4 + e^{\frac{1}{2 - x}})

Solution

\frac{e ^{\frac{1}{- x + 2}}}{( - x + 2 ) ^{2}}

Solution steps

\frac{d}{d x} (- 4 + e^{\frac{1}{2 - x}})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (4) + \frac{d}{d x} (e^{\frac{1}{2 - x}})

\frac{d}{d x} (4) = 0

\frac{d}{d x} (e^{\frac{1}{2 - x}}) = \frac{e ^{\frac{1}{2 - x}}}{( 2 - x ) ^{2}}

= - 0 + \frac{e ^{\frac{1}{2 - x}}}{( 2 - x ) ^{2}}

Simplify

= \frac{e ^{\frac{1}{- x + 2}}}{( - x + 2 ) ^{2}}

Popular Examples

area 20-(e^x)^2,(e^x)^2,[0,0.5ln(10)]area

20 - (e^{x})^{2}, (e^{x})^{2}, [0, 0.5 ln (10)]

(\partial)/(\partial x)(ln(x^2+9y^2+6))

\frac{\partial}{\partial x} (ln (x^{2} + 9 y^{2} + 6))

integral from 0 to 1 of 24(e^{1/x})/(x^3)

\int_{0}^{1} 24 \frac{e ^{\frac{1}{x}}}{x ^{3}} d x

limit as x approaches 0 of e^{(-1)/x}

x \to 0 lim (e^{\frac{- 1}{x}})

integral of (x^2)/((3-x^3)^2)

\int \frac{x ^{2}}{( 3 - x ^{3} ) ^{2}} d x

Frequently Asked Questions (FAQ)

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