Derivada de sin(2x)+cos(3x)

Answer

-3 \cdot \mathrm{sin}\left(3 \cdot x\right)+2 \cdot \mathrm{cos}\left(2 \cdot x\right)

Derivative of sin(2x)+cos(3x)

Rule Used: Sum Rule
Steps: Differentiate $\sin(2 \cdot x)$ + $\cos(3 \cdot x)$ term by term. The sum rule says the derivative of a sum is the sum of the derivatives, and the derivative of a constant term is 0, so that term disappears.
Final answer: - $3 \cdot s$ in( $3 \cdot x$ )+ $2 \cdot c$ os( $2 \cdot x$ )

La derivada de sin(2*x)+cos(3*x) es -3*sin(3*x)+2*cos(2*x).

Solución paso a paso instantánea para sin(2x)+cos(3x)

Derivative TrigonometricIntermediate

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Derivative of sin(2x)+cos(3x) = -3*sin(3*x)+2*cos(2*x) Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-sin2x-minus-plus-minus-cos3x

Cómo encontrar la derivada de sin(2x)+cos(3x)

Para encontrar la derivada de sin(2x)+cos(3x), 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(2x)+cos(3x)?▼

The derivative of sin(2x)+cos(3x) is -3*sin(3*x)+2*cos(2*x).

How do you find the derivative of sin(2x)+cos(3x)?▼

Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -3*sin(3*x)+2*cos(2*x).

Why is the derivative of sin(2x)+cos(3x) equal to -3*sin(3*x)+2*cos(2*x)?▼

Because differentiation measures how a function changes — applying the rules to sin(2x)+cos(3x) yields -3*sin(3*x)+2*cos(2*x). See the full step-by-step breakdown above.

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