Derivada de sin(7x)*cos(7x)
Answer
-7*sin(7*x)^2+7*cos(7*x)^2
Derivative of sin(7x)*cos(7x)
- Rule Used
- Product Rule
- Steps
- Identify a product of two functions of x in *: use the product rule (uv)' = u'v + uv'. Each factor is differentiated once while the other is held as-is, then the two terms are added.
- Differentiate each factor and combine.
- Final answer: -in()^2+os()^2
La derivada de sin(7*x)*cos(7*x) es -7*sin(7*x)^2+7*cos(7*x)^2.
Solución paso a paso instantánea para sin(7x)*cos(7x)
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Derivative of sin(7x)*cos(7x) = -7*sin(7*x)^2+7*cos(7*x)^2 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sin7xcos7x
Cómo encontrar la derivada de sin(7x)*cos(7x)
Para encontrar la derivada de sin(7x)*cos(7x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
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Frequently Asked Questions
What is the derivative of sin(7x)*cos(7x)?▼
The derivative of sin(7x)*cos(7x) is -7*sin(7*x)^2+7*cos(7*x)^2.
How do you find the derivative of sin(7x)*cos(7x)?▼
Apply the standard differentiation rules — the key rule used here is the Product Rule. The step-by-step result is -7*sin(7*x)^2+7*cos(7*x)^2.
Why is the derivative of sin(7x)*cos(7x) equal to -7*sin(7*x)^2+7*cos(7*x)^2?▼
Because differentiation measures how a function changes — applying the rules to sin(7x)*cos(7x) yields -7*sin(7*x)^2+7*cos(7*x)^2. See the full step-by-step breakdown above.