Learn how to use the product rule to find the derivative

What is the first step in applying the product rule to find the derivative of a product of two functions?

• Take the derivative of the second function and multiply it by the first function

• Take the derivative of the first function and multiply it by the second function

• Multiply the two functions together

• Add the derivatives of both functions

In the example provided, what is the derivative of the function 5x squared minus 3x squared?

• 5x squared minus 3x squared

• 10x minus 9x squared

• 5x minus 3x

• 5 minus 6x

What is the final simplified result of the derivative using the product rule in the example?

• 10x minus 9x squared

• Negative 9x squared plus 10x

• 5x minus 3x squared

• 5 minus 6x

How does the power rule compare to the product rule in terms of efficiency for the given problem?

• The power rule is more efficient

• Both rules are equally efficient

• The product rule is more efficient

• The power rule is less efficient

What is the derivative of g(x) using the power rule in the example?

• 5 minus 6x

• 5x squared minus 3x cubed

• 10x minus 9x squared

• Negative 9x squared plus 10x