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