Derivative of (4x+4)^5
Answer
20*(4+4*x)^4
Derivative of (4x+4)^5
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (+4)^5: use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: 20*(4+)^4
The derivative of (4*x+4)^5 is 20*(4+4*x)^4.
Instant step-by-step solution for (4x+4)^5
Share this result
Derivative of (4x+4)^5 = 20*(4+4*x)^4 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-4x-minus-plus-minus-4-minus-to-minus-the-minus-5
How to find the derivative of (4x+4)^5
To find the derivative of (4x+4)^5, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of x+1
Solve d/dx x+1
Derivative of x*sin(x)
Solve d/dx x*sin(x)
Derivative of x^2
Solve d/dx x^2
Derivative of x^2-1
Solve d/dx x^2-1
Derivative of x^2+1
Solve d/dx x^2+1
Derivative of x^4
Solve d/dx x^4
Derivative of 2x
Solve d/dx 2x
Derivative of 3x^2
Solve d/dx 3x^2
Derivative of 5x
Solve d/dx 5x
Derivative of 1-x
Solve d/dx 1-x
Frequently Asked Questions
What is the derivative of (4x+4)^5?▼
The derivative of (4x+4)^5 is 20*(4+4*x)^4.
How do you find the derivative of (4x+4)^5?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 20*(4+4*x)^4.
Why is the derivative of (4x+4)^5 equal to 20*(4+4*x)^4?▼
Because differentiation measures how a function changes — applying the rules to (4x+4)^5 yields 20*(4+4*x)^4. See the full step-by-step breakdown above.