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