What is d/(d(1))((10e^{-1})(cos(pi)1)) ?

The solution to d/(d(1))((10e^{-1})(cos(pi)1)) is -(10)/e

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simplify d/(d(1))((10e^{-1})(cos(pi)1))

simplify

\frac{d}{d ( 1 )} ((10 e^{- 1}) (cos (π) 1))

- \frac{10}{e}

Decimal Notation

- 3.67879 \dots

Solution steps

\frac{d}{d ( 1 )} ((10 e^{- 1}) (cos (π) \cdot 1))

Apply exponent rule:

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

= 10 \cdot 1 \cdot \frac{1}{e} cos (π) \frac{d}{1 \cdot d}

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= 1 \cdot \frac{1 \cdot 10 cos ( π ) d}{1 e d}

Cancel

\frac{d \cdot 1 \cdot 10 cos ( π )}{d \cdot 1 e} : \frac{10 cos ( π )}{e}

= 1 \cdot \frac{10 cos ( π )}{e}

\frac{10 cos ( π )}{e} = - \frac{10}{e}

= 1 \cdot (- \frac{10}{e})

Simplify

= - \frac{10}{e}

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What is d/(d(1))((10e^{-1})(cos(pi)1)) ?
The solution to d/(d(1))((10e^{-1})(cos(pi)1)) is -(10)/e