Derivative of sin(4x)+cos(2x)

Answer

-2 \cdot \mathrm{sin}\left(2 \cdot x\right)+4 \cdot \mathrm{cos}\left(4 \cdot x\right)

Derivative of sin(4x)+cos(2x)

Rule Used: Sum Rule
Steps: Differentiate $\sin(4 \cdot x)$ + $\cos(2 \cdot x)$ 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( $2 \cdot x$ )+ $4 \cdot c$ os( $4 \cdot x$ )

The derivative of sin(4*x)+cos(2*x) is -2*sin(2*x)+4*cos(4*x).

Instant step-by-step solution for sin(4x)+cos(2x)

Derivative TrigonometricIntermediate

Share this result

Share on X

Derivative of sin(4x)+cos(2x) = -2*sin(2*x)+4*cos(4*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sin4x-minus-plus-minus-cos2x

How to find the derivative of sin(4x)+cos(2x)

To find the derivative of sin(4x)+cos(2x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.

Practice More Problems

Derivative of x^(1/2)

Solve d/dx x^(1/2)

Derivative of sqrt(x)

Derivative of x*ln(x)

Solve d/dx x*ln(x)

Derivative of x+1

Solve d/dx x+1

Frequently Asked Questions

What is the derivative of sin(4x)+cos(2x)?▼

The derivative of sin(4x)+cos(2x) is -2*sin(2*x)+4*cos(4*x).

How do you find the derivative of sin(4x)+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)+4*cos(4*x).

Why is the derivative of sin(4x)+cos(2x) equal to -2*sin(2*x)+4*cos(4*x)?▼

Because differentiation measures how a function changes — applying the rules to sin(4x)+cos(2x) yields -2*sin(2*x)+4*cos(4*x). See the full step-by-step breakdown above.

Support via PayPal

Support free development ❤️