What is the derivative of e^{1-x} ?

The derivative of e^{1-x} is -e^{1-x}

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

The first derivative of e^{1-x} is -e^{1-x}

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derivative of

e^{1 - x}

- e^{1 - x}

Solution steps

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

Apply the chain rule:

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

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

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

= e^{1 - x} (- 1)

Simplify

= - e^{1 - x}

x \frac{d y}{d x} + y + y^{2} = 0

\frac{( 1 + tan ( x ) ) ^{2}}{sec ( x )}

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

\int sec^{7} (4 x) tan (4 x) d x

f (x) = \frac{10}{x}

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