Find the Derivative Using Quotient Rule – d/dm (2m^4+21m^3+35m^2-37m+45)/(2m+7)

Math
Differentiate using the Quotient Rule which states that is where and .
By the Sum Rule, the derivative of with respect to is .
Evaluate .
Tap for more steps…
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Evaluate .
Tap for more steps…
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Evaluate .
Tap for more steps…
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Evaluate .
Tap for more steps…
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Differentiate.
Tap for more steps…
Since is constant with respect to , the derivative of with respect to is .
Add and .
By the Sum Rule, the derivative of with respect to is .
Evaluate .
Tap for more steps…
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Differentiate using the Constant Rule.
Tap for more steps…
Since is constant with respect to , the derivative of with respect to is .
Add and .
Simplify.
Tap for more steps…
Apply the distributive property.
Apply the distributive property.
Simplify the numerator.
Tap for more steps…
Simplify each term.
Tap for more steps…
Expand by multiplying each term in the first expression by each term in the second expression.
Simplify each term.
Tap for more steps…
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Tap for more steps…
Multiply by .
Tap for more steps…
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Rewrite using the commutative property of multiplication.
Multiply by by adding the exponents.
Tap for more steps…
Multiply by .
Tap for more steps…
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Add and .
Add and .
Add and .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Multiply by .
Subtract from .
Subtract from .
Subtract from .
Add and .
Subtract from .
Find the Derivative Using Quotient Rule – d/dm (2m^4+21m^3+35m^2-37m+45)/(2m+7)


Need help with MATH HOMEWORK

We can help your. Our mathematic problem solver answers your math homework questions with step-by-step explanations.

Need help with math? Try to Solve Algebra Math Problems here: https://elanyachtselection.com/

Scroll to top