Derivative of atan(6x)
Answer
6*(1+36*x^2)^(-1)
Derivative of atan(6x)
- 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: 6*(1+)^(-1)
The derivative of atan(6*x) is 6*(1+36*x^2)^(-1).
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Derivative of atan(6x) = 6*(1+36*x^2)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-atan6x
How to find the derivative of atan(6x)
To find the derivative of atan(6x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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Frequently Asked Questions
What is the derivative of atan(6x)?▼
The derivative of atan(6x) is 6*(1+36*x^2)^(-1).
How do you find the derivative of atan(6x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 6*(1+36*x^2)^(-1).
Why is the derivative of atan(6x) equal to 6*(1+36*x^2)^(-1)?▼
Because differentiation measures how a function changes — applying the rules to atan(6x) yields 6*(1+36*x^2)^(-1). See the full step-by-step breakdown above.