Derivada de sin(10*x)*cos(10*x)

Solución paso a paso instantánea para sin(10*x)*cos(10*x)

Solution

AI Explanation

Rule used: Product Rule.

Step-by-Step

Graph

Derivative of sin(10*x)*cos(10*x)

Answer
-10*sin(10*x)^2+10*cos(10*x)^2
Rule Used
Product Rule
Steps
  1. Identify a product of two functions: use the product rule (uv)' = u'v + uv'.
  2. Differentiate each factor and combine.
  3. Final answer: -10*sin(10*x)^2+10*cos(10*x)^2
Share this result

Derivative of sin(10*x)*cos(10*x) = -10*sin(10*x)^2+10*cos(10*x)^2 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sin10xcos10x

Cómo encontrar la derivada de sin(10*x)*cos(10*x)

Para encontrar la derivada de sin(10*x)*cos(10*x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.