Derivative of sin(4x+3)
Answer
4*cos(3+4*x)
Derivative of sin(4x+3)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: os(3+)
The derivative of sin(4*x+3) is 4*cos(3+4*x).
Instant step-by-step solution for sin(4x+3)
Share this result
Derivative of sin(4x+3) = 4*cos(3+4*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sin4x-minus-plus-minus-3
How to find the derivative of sin(4x+3)
To find the derivative of sin(4x+3), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of ln(x)
Solve d/dx ln(x)
Derivative of -x
Solve d/dx -x
Derivative of x^(1/2)
Solve d/dx x^(1/2)
Derivative of sqrt(x)
Solve d/dx sqrt(x)
Derivative of x^3
Solve d/dx x^3
Derivative of x*e^x
Solve d/dx x*e^x
Derivative of x*ln(x)
Solve d/dx x*ln(x)
Derivative of x+1
Solve d/dx x+1
Derivative of x^2
Solve d/dx x^2
Derivative of x^2-1
Solve d/dx x^2-1
Frequently Asked Questions
What is the derivative of sin(4x+3)?▼
The derivative of sin(4x+3) is 4*cos(3+4*x).
How do you find the derivative of sin(4x+3)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 4*cos(3+4*x).
Why is the derivative of sin(4x+3) equal to 4*cos(3+4*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(4x+3) yields 4*cos(3+4*x). See the full step-by-step breakdown above.