Derivative of sin(5x+4)
Answer
5*cos(4+5*x)
Derivative of sin(5x+4)
- 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(4+)
The derivative of sin(5*x+4) is 5*cos(4+5*x).
Instant step-by-step solution for sin(5x+4)
Share this result
Derivative of sin(5x+4) = 5*cos(4+5*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-sin5x-minus-plus-minus-4
How to find the derivative of sin(5x+4)
To find the derivative of sin(5x+4), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of cot(x)
Solve d/dx cot(x)
Derivative of csc(x)
Solve d/dx csc(x)
Derivative of sec(x)
Solve d/dx sec(x)
Derivative of sin(2x)
Solve d/dx sin(2x)
Derivative of sin(x)^2
Solve d/dx sin(x)^2
Derivative of sin(x)
Solve d/dx sin(x)
Derivative of sinh(x)
Solve d/dx sinh(x)
Derivative of tan(x)^2
Solve d/dx tan(x)^2
Derivative of tan(x)
Solve d/dx tan(x)
Derivative of tanh(x)
Solve d/dx tanh(x)
Frequently Asked Questions
What is the derivative of sin(5x+4)?▼
The derivative of sin(5x+4) is 5*cos(4+5*x).
How do you find the derivative of sin(5x+4)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 5*cos(4+5*x).
Why is the derivative of sin(5x+4) equal to 5*cos(4+5*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(5x+4) yields 5*cos(4+5*x). See the full step-by-step breakdown above.