Derivada de (x^2+5)^5
Answer
10*(5+x^2)^4*x
Derivative of (x^2+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+)^
La derivada de (x^2+5)^5 es 10*(5+x^2)^4*x.
Solución paso a paso instantánea para (x^2+5)^5
Share this result
Derivative of (x^2+5)^5 = 10*(5+x^2)^4*x Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-x-minus-to-minus-the-minus-2-minus-plus-minus-5-minus-to-minus-the-minus-5
Cómo encontrar la derivada de (x^2+5)^5
Para encontrar la derivada de (x^2+5)^5, usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Derivada de cos(x)
Resolver d/dx cos(x)
Derivada de cosh(x)
Resolver d/dx cosh(x)
Derivada de cot(x)
Resolver d/dx cot(x)
Derivada de csc(x)
Resolver d/dx csc(x)
Derivada de e^(2x)
Resolver d/dx e^(2x)
Derivada de e^(-x)
Resolver d/dx e^(-x)
Derivada de e^x
Resolver d/dx e^x
Derivada de ln(2x)
Resolver d/dx ln(2x)
Derivada de ln(x)
Resolver d/dx ln(x)
Frequently Asked Questions
What is the derivative of (x^2+5)^5?▼
The derivative of (x^2+5)^5 is 10*(5+x^2)^4*x.
How do you find the derivative of (x^2+5)^5?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 10*(5+x^2)^4*x.
Why is the derivative of (x^2+5)^5 equal to 10*(5+x^2)^4*x?▼
Because differentiation measures how a function changes — applying the rules to (x^2+5)^5 yields 10*(5+x^2)^4*x. See the full step-by-step breakdown above.