Implicit differentiation by taking the log of both sides

What is the first step in solving the equation E^x = 5?

• Multiply both sides by x

• Take the natural logarithm of both sides

• Subtract 5 from both sides

• Add 5 to both sides

Which rule is applied to bring down the exponent in logarithmic expressions?

• Product Rule

• Power Rule

• Quotient Rule

• Chain Rule

What is the derivative of ln(y) with respect to x?

• ln(x)

• 1/y

• y

• x

When solving for y in a derivative equation, what is a common next step?

• Subtract y from both sides

• Divide by x

• Multiply by y

• Add y to both sides

Why is it important to express results in terms of x?

• To simplify the equation

• To make it easier to graph

• To eliminate y from the equation

• To ensure the solution is in the correct form