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Popular >

derivative of 1+e^{0.5499-0.09x}

Solution

derivative of

1 + e^{0.5499 - 0.09 x}

Solution

- 0.09 e^{- 0.09 x + 0.5499}

Solution steps

\frac{d}{d x} (1 + e^{0.5499 - 0.09 x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) + \frac{d}{d x} (e^{0.5499 - 0.09 x})

\frac{d}{d x} (1) = 0

\frac{d}{d x} (e^{0.5499 - 0.09 x}) = - 0.09 e^{0.5499 - 0.09 x}

= 0 - 0.09 e^{0.5499 - 0.09 x}

Simplify

= - 0.09 e^{- 0.09 x + 0.5499}

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sum from n=0 to infinity of 0

n = 0 \sum \infty 0

Frequently Asked Questions (FAQ)

What is the derivative of 1+e^{0.5499-0.09x} ?
The derivative of 1+e^{0.5499-0.09x} is -0.09e^{-0.09x+0.5499}
What is the first derivative of 1+e^{0.5499-0.09x} ?
The first derivative of 1+e^{0.5499-0.09x} is -0.09e^{-0.09x+0.5499}