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

Differentiate both sides of the equation.
The derivative of with respect to is .
Differentiate the right side of the equation.
Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
Differentiate using the Exponential Rule which states that is where =.
Replace all occurrences of with .
Differentiate.
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.
Move to the left of .
Reorder the factors of .
Reform the equation by setting the left side equal to the right side.
Simplify.
Rewrite as .
Rewrite as .
Simplify by multiplying through.
Apply the distributive property.
Apply the distributive property.
Remove parentheses.
Reorder factors in .
Replace with .
Find dy/dx y=10^(x^2-1)