Can you do product rule with 3 terms?

= f'(x) g(x) h(x) + f(x) g'(x) h(x) + f(x) g(x) h'(x) . Here is an easy way to remember the triple product rule. Each time differentiate a different function in the product. Then add the three new products together.

What are the three rules of differentiation?

Elementary rules of differentiation

• Differentiation is linear.
• The product rule.
• The chain rule.
• The inverse function rule.
• The polynomial or elementary power rule.
• The reciprocal rule.
• The quotient rule.
• Generalized power rule.

Can a function have more than one Antiderivative?

Every function that has at least one antiderivative, has more than one antiderivative. More precisely, it has an infinite number of antiderivatives. The difference between two antiderivatives is a constant.

Can you multiply derivatives?

The derivative of the product of two functions is the derivative of the first one multiplied by the second one plus the first one multiplied by the derivative of the second one. We can take that g ( x ) = x and h ( x ) = x and use the rule of the product.

What are the 7 differentiation rules?

Rules of Differentiation of Functions in Calculus

• 1 – Derivative of a constant function.
• 2 – Derivative of a power function (power rule).
• 3 – Derivative of a function multiplied by a constant.
• 4 – Derivative of the sum of functions (sum rule).
• 5 – Derivative of the difference of functions.

What are the five rules of differentiation?

Some differentiation rules are a snap to remember and use. These include the constant rule, power rule, constant multiple rule, sum rule, and difference rule.

Does product mean multiply?

The product of two numbers is the result you get when you multiply them together. So 12 is the product of 3 and 4, 20 is the product of 4 and 5 and so on.

How is the product rule used in differentiation?

The rule follows from the limit definition of derivative and is given by . Remember the rule in the following way. Each time, differentiate a different function in the product and add the two terms together. In the list of problems which follows, most problems are average and a few are somewhat challenging.

What are the different types of differentiation rules?

1 Power Rule 2 Sum and Difference Rule 3 Product Rule 4 Quotient Rule 5 Chain Rule

When to apply the product rule to three or more functions?

To apply product rule to three or more functions, include a term that includes each combination of the derivative of one function, And where all other functions are held constant.

What is the definition of the product rule?

Product Rule Definition. The product rule is a general rule for the problems which come under the differentiation where one function is multiplied by another function. The derivative of the product of two differentiable functions is equal to the addition of the first function multiplied by the derivative of the second, and the second function