Find dz/dy z=A/(y^14)+Be^y

Math
Differentiate both sides of the equation.
The derivative of with respect to is .
Differentiate the right side of the equation.
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By the Sum Rule, the derivative of with respect to is .
Evaluate .
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Since is constant with respect to , the derivative of with respect to is .
Rewrite as .
Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
Differentiate using the Power Rule which states that is where .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Multiply by .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Subtract from .
Move to the left of .
Evaluate .
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Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Exponential Rule which states that is where =.
Rewrite the expression using the negative exponent rule .
Simplify.
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Combine terms.
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Combine and .
Combine and .
Move to the left of .
Move the negative in front of the fraction.
Reorder terms.
Reform the equation by setting the left side equal to the right side.
Reorder factors in .
Replace with .
Find dz/dy z=A/(y^14)+Be^y


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