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Popular >

derivative of-1/2 e^{-x}

Solution

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

Solution

\frac{1}{2} e^{- x}

Solution steps

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

Take the constant out:

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

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

Apply the chain rule:

e^{- x} \frac{d}{d x} (- x)

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

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

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

Simplify

= \frac{1}{2} e^{- x}

Popular Examples

derivative of-(6x^2-6/(sqrt(x^3-3x+2)))

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

integral of (5+9x)^8(9)

\int (5 + 9 x)^{8} (9) d x

integral of (cos^3(x))/(sin(x))

\int \frac{cos ^{3} ( x )}{sin ( x )} d x

integral of (2x+4)/(x^2+5x-6)

\int \frac{2 x + 4}{x ^{2} + 5 x - 6} d x

area y=x^3-7x,y=-4x+2 area

y = x^{3} - 7 x, y = - 4 x + 2

Frequently Asked Questions (FAQ)

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