Differentiate both sides of the equation.

The derivative of with respect to is .

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.

Add and .

Move to the left of .

Reorder the factors of .

Reform the equation by setting the left side equal to the right side.

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)