Derivative of (2x+5)^5
Answer
10*(2*x+5)^4
Derivative of (2x+5)^5
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (+5)^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: 10*(+5)^4
The derivative of (2*x+5)^5 is 10*(2*x+5)^4.
Instant step-by-step solution for (2x+5)^5
Share this result
Derivative of (2x+5)^5 = 10*(2*x+5)^4 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-2x-minus-plus-minus-5-minus-to-minus-the-minus-5
How to find the derivative of (2x+5)^5
To find the derivative of (2x+5)^5, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of 2^x
Solve d/dx 2^x
Derivative of Abs(x)
Solve d/dx Abs(x)
Derivative of acos(x)
Solve d/dx acos(x)
Derivative of asin(x)
Solve d/dx asin(x)
Derivative of atan(x)
Solve d/dx atan(x)
Derivative of x^(1/3)
Solve d/dx x^(1/3)
Derivative of cos(2x)
Solve d/dx cos(2x)
Derivative of cos(x)^2
Solve d/dx cos(x)^2
Derivative of cos(x)
Solve d/dx cos(x)
Derivative of cosh(x)
Solve d/dx cosh(x)
Frequently Asked Questions
What is the derivative of (2x+5)^5?▼
The derivative of (2x+5)^5 is 10*(2*x+5)^4.
How do you find the derivative of (2x+5)^5?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 10*(2*x+5)^4.
Why is the derivative of (2x+5)^5 equal to 10*(2*x+5)^4?▼
Because differentiation measures how a function changes — applying the rules to (2x+5)^5 yields 10*(2*x+5)^4. See the full step-by-step breakdown above.