Derivative of sin(4x)+cos(3x)
Answer
-3*sin(3*x)+4*cos(4*x)
Derivative of sin(4x)+cos(3x)
- Rule Used
- Sum Rule
- Steps
- Differentiate + 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: -in()+os()
The derivative of sin(4*x)+cos(3*x) is -3*sin(3*x)+4*cos(4*x).
Instant step-by-step solution for sin(4x)+cos(3x)
Share this result
Derivative of sin(4x)+cos(3x) = -3*sin(3*x)+4*cos(4*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sin4x-minus-plus-minus-cos3x
How to find the derivative of sin(4x)+cos(3x)
To find the derivative of sin(4x)+cos(3x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of 5x
Solve d/dx 5x
Derivative of Abs(x)
Solve d/dx Abs(x)
Derivative of acos(x)
Solve d/dx acos(x)
Derivative of asin(x)
Solve d/dx asin(x)
Derivative of atan(x)
Solve d/dx atan(x)
Derivative of x^(1/3)
Solve d/dx x^(1/3)
Derivative of e^(2x)
Solve d/dx e^(2x)
Derivative of e^(-x)
Solve d/dx e^(-x)
Derivative of e^x
Solve d/dx e^x
Derivative of ln(2x)
Solve d/dx ln(2x)
Frequently Asked Questions
What is the derivative of sin(4x)+cos(3x)?▼
The derivative of sin(4x)+cos(3x) is -3*sin(3*x)+4*cos(4*x).
How do you find the derivative of sin(4x)+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)+4*cos(4*x).
Why is the derivative of sin(4x)+cos(3x) equal to -3*sin(3*x)+4*cos(4*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(4x)+cos(3x) yields -3*sin(3*x)+4*cos(4*x). See the full step-by-step breakdown above.