Derivada de sin(5x)+cos(2x)

Answer

-2 \cdot \mathrm{sin}\left(2 \cdot x\right)+5 \cdot \mathrm{cos}\left(5 \cdot x\right)

Derivative of sin(5x)+cos(2x)

Rule Used: Sum Rule
Steps: Differentiate $\sin(5 \cdot x)$ + $\cos(2 \cdot x)$ 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: - $2 \cdot s$ in( $2 \cdot x$ )+ $5 \cdot c$ os( $5 \cdot x$ )

A derivada de sin(5*x)+cos(2*x) é -2*sin(2*x)+5*cos(5*x).

Solução passo a passo instantânea para sin(5x)+cos(2x)

Derivative TrigonometricIntermediate

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Derivative of sin(5x)+cos(2x) = -2*sin(2*x)+5*cos(5*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-sin5x-minus-plus-minus-cos2x

Como encontrar a derivada de sin(5x)+cos(2x)

Para encontrar a derivada de sin(5x)+cos(2x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

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Frequently Asked Questions

What is the derivative of sin(5x)+cos(2x)?▼

The derivative of sin(5x)+cos(2x) is -2*sin(2*x)+5*cos(5*x).

How do you find the derivative of sin(5x)+cos(2x)?▼

Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -2*sin(2*x)+5*cos(5*x).

Why is the derivative of sin(5x)+cos(2x) equal to -2*sin(2*x)+5*cos(5*x)?▼

Because differentiation measures how a function changes — applying the rules to sin(5x)+cos(2x) yields -2*sin(2*x)+5*cos(5*x). See the full step-by-step breakdown above.

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