Derivada de sin(3x+1)
Answer
3*cos(1+3*x)
Derivative of sin(3x+1)
- 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(1+)
A derivada de sin(3*x+1) é 3*cos(1+3*x).
Solução passo a passo instantânea para sin(3x+1)
Share this result
Derivative of sin(3x+1) = 3*cos(1+3*x) Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-sin3x-minus-plus-minus-1
Como encontrar a derivada de sin(3x+1)
Para encontrar a derivada de sin(3x+1), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
Derivada de x+1
Resolver d/dx x+1
Derivada de x^2
Resolver d/dx x^2
Derivada de x^2-1
Resolver d/dx x^2-1
Derivada de x^2+1
Resolver d/dx x^2+1
Derivada de x^4
Resolver d/dx x^4
Derivada de cos(2x)
Resolver d/dx cos(2x)
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Derivada de cos(x)
Resolver d/dx cos(x)
Derivada de cosh(x)
Resolver d/dx cosh(x)
Derivada de cot(x)
Resolver d/dx cot(x)
Frequently Asked Questions
What is the derivative of sin(3x+1)?▼
The derivative of sin(3x+1) is 3*cos(1+3*x).
How do you find the derivative of sin(3x+1)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 3*cos(1+3*x).
Why is the derivative of sin(3x+1) equal to 3*cos(1+3*x)?▼
Because differentiation measures how a function changes — applying the rules to sin(3x+1) yields 3*cos(1+3*x). See the full step-by-step breakdown above.