Derivative of (2x-5)^5
Answer
10*(-5+2*x)^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*(-5+2*x)^4.
Instant step-by-step solution for (2x-5)^5
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Derivative of (2x-5)^5 = 10*(-5+2*x)^4 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-2x-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.
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Frequently Asked Questions
What is the derivative of (2x-5)^5?▼
The derivative of (2x-5)^5 is 10*(-5+2*x)^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*(-5+2*x)^4.
Why is the derivative of (2x-5)^5 equal to 10*(-5+2*x)^4?▼
Because differentiation measures how a function changes — applying the rules to (2x-5)^5 yields 10*(-5+2*x)^4. See the full step-by-step breakdown above.