Find dy/dx y=10^(x^2-1)

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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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 Exponential Rule which states that is where =.
Replace all occurrences of with .
Differentiate.
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By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
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Add and .
Move to the left of .
Reorder the factors of .
Reform the equation by setting the left side equal to the right side.
Simplify.
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Rewrite as .
Rewrite as .
Simplify by multiplying through.
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Apply the distributive property.
Apply the distributive property.
Remove parentheses.
Reorder factors in .
Replace with .
Find dy/dx y=10^(x^2-1)

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