Derivada de sin(5x+2)
Answer
5*cos(2+5*x)
Derivative of sin(5x+2)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : 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: os(2+)
La derivada de sin(5*x+2) es 5*cos(2+5*x).
Solución paso a paso instantánea para sin(5x+2)
Share this result
Derivative of sin(5x+2) = 5*cos(2+5*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sin5x-minus-plus-minus-2
Cómo encontrar la derivada de sin(5x+2)
Para encontrar la derivada de sin(5x+2), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de 1/x^2
Resolver d/dx 1/x^2
Derivada de 10^x
Resolver d/dx 10^x
Derivada de 2^x
Resolver d/dx 2^x
Derivada de 2x
Resolver d/dx 2x
Derivada de 3x^2
Resolver d/dx 3x^2
Derivada de 5x
Resolver d/dx 5x
Derivada de Abs(x)
Resolver d/dx Abs(x)
Derivada de acos(x)
Resolver d/dx acos(x)
Derivada de asin(x)
Resolver d/dx asin(x)
Derivada de atan(x)
Resolver d/dx atan(x)
Frequently Asked Questions
What is the derivative of sin(5x+2)?▼
The derivative of sin(5x+2) is 5*cos(2+5*x).
How do you find the derivative of sin(5x+2)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 5*cos(2+5*x).
Why is the derivative of sin(5x+2) equal to 5*cos(2+5*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(5x+2) yields 5*cos(2+5*x). See the full step-by-step breakdown above.