What is the derivative of x/(y^{13)}+Be^y ?

The derivative of x/(y^{13)}+Be^y is 1/(y^{13)}

What is the first derivative of x/(y^{13)}+Be^y ?

The first derivative of x/(y^{13)}+Be^y is 1/(y^{13)}

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derivative of

\frac{x}{y ^{13}} + B e^{y}

\frac{1}{y ^{13}}

Solution steps

\frac{d}{d x} (\frac{x}{y ^{13}} + B e^{y})

Treat

B, y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x}{y ^{13}}) + \frac{d}{d x} (B e^{y})

\frac{d}{d x} (\frac{x}{y ^{13}}) = \frac{1}{y ^{13}}

\frac{d}{d x} (B e^{y}) = 0

= \frac{1}{y ^{13}} + 0

Simplify

= \frac{1}{y ^{13}}

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What is the derivative of x/(y^{13)}+Be^y ?
The derivative of x/(y^{13)}+Be^y is 1/(y^{13)}
What is the first derivative of x/(y^{13)}+Be^y ?
The first derivative of x/(y^{13)}+Be^y is 1/(y^{13)}