What is the derivative of 10(e^{x/(20}+e^{-x/(20)})) ?

The derivative of 10(e^{x/(20}+e^{-x/(20)})) is 10(e^{x/(20)} 1/20-1/20 e^{-x/(20)})

What is the first derivative of 10(e^{x/(20}+e^{-x/(20)})) ?

The first derivative of 10(e^{x/(20}+e^{-x/(20)})) is 10(e^{x/(20)} 1/20-1/20 e^{-x/(20)})

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\frac{d}{d x} (10 (e^{\frac{x}{20}} + e^{- \frac{x}{20}}))

10 (e^{\frac{x}{20}} \frac{1}{20} - \frac{1}{20} e^{- \frac{x}{20}})

Solution steps

\frac{d}{d x} (10 (e^{\frac{x}{20}} + e^{- \frac{x}{20}}))

Take the constant out:

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

= 10 \frac{d}{d x} (e^{\frac{x}{20}} + e^{- \frac{x}{20}})

Apply the Sum/Difference Rule:

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

= 10 (\frac{d}{d x} (e^{\frac{x}{20}}) + \frac{d}{d x} (e^{- \frac{x}{20}}))

\frac{d}{d x} (e^{\frac{x}{20}}) = e^{\frac{x}{20}} \frac{1}{20}

\frac{d}{d x} (e^{- \frac{x}{20}}) = - \frac{1}{20} e^{- \frac{x}{20}}

= 10 (e^{\frac{x}{20}} \frac{1}{20} - \frac{1}{20} e^{- \frac{x}{20}})

x \to 2 lim (3 x - 6)

\int 7 cos (5 x) d x

x \to 1 lim (\frac{ln ( x )}{4 x - x ^{2} - 3})

\frac{d}{d x} ((5 - x^{2})^{5})

x \to 0 + lim (x^{- 2})

What is the derivative of 10(e^{x/(20}+e^{-x/(20)})) ?
The derivative of 10(e^{x/(20}+e^{-x/(20)})) is 10(e^{x/(20)} 1/20-1/20 e^{-x/(20)})
What is the first derivative of 10(e^{x/(20}+e^{-x/(20)})) ?
The first derivative of 10(e^{x/(20}+e^{-x/(20)})) is 10(e^{x/(20)} 1/20-1/20 e^{-x/(20)})