Derivative of sin(4x+2)
Answer
4*cos(2+4*x)
Derivative of sin(4x+2)
- 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(2+)
The derivative of sin(4*x+2) is 4*cos(2+4*x).
Instant step-by-step solution for sin(4x+2)
Share this result
Derivative of sin(4x+2) = 4*cos(2+4*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sin4x-minus-plus-minus-2
How to find the derivative of sin(4x+2)
To find the derivative of sin(4x+2), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
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)
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)
Frequently Asked Questions
What is the derivative of sin(4x+2)?▼
The derivative of sin(4x+2) is 4*cos(2+4*x).
How do you find the derivative of sin(4x+2)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 4*cos(2+4*x).
Why is the derivative of sin(4x+2) equal to 4*cos(2+4*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(4x+2) yields 4*cos(2+4*x). See the full step-by-step breakdown above.