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Popular >

derivative of A/(y^{14)}+Be^y

Solution

derivative of

\frac{A}{y ^{14}} + B e^{y}

Solution

- \frac{14 A}{y ^{15}} + B e^{y}

Solution steps

\frac{d}{d y} (\frac{A}{y ^{14}} + B e^{y})

Apply the Sum/Difference Rule:

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

= \frac{d}{d y} (\frac{A}{y ^{14}}) + \frac{d}{d y} (B e^{y})

\frac{d}{d y} (\frac{A}{y ^{14}}) = - \frac{14 A}{y ^{15}}

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

= - \frac{14 A}{y ^{15}} + B e^{y}

Popular Examples

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limit as x approaches 2 of x^2+2x+1

x \to 2 lim (x^{2} + 2 x + 1)

limit as x approaches infinity of x+x+x

x \to \infty lim (x + x + x)

Frequently Asked Questions (FAQ)

What is the derivative of A/(y^{14)}+Be^y ?
The derivative of A/(y^{14)}+Be^y is -(14A)/(y^{15)}+Be^y
What is the first derivative of A/(y^{14)}+Be^y ?
The first derivative of A/(y^{14)}+Be^y is -(14A)/(y^{15)}+Be^y