Derivative of atan(7x)
Answer
7*(1+49*x^2)^(-1)
Derivative of atan(7x)
- 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: 7*(1+)^(-1)
The derivative of atan(7*x) is 7*(1+49*x^2)^(-1).
Instant step-by-step solution for atan(7x)
Share this result
Derivative of atan(7x) = 7*(1+49*x^2)^(-1) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-atan7x
How to find the derivative of atan(7x)
To find the derivative of atan(7x), we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
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 sqrt(x)
Solve d/dx sqrt(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)
Derivative of x*cos(x)
Solve d/dx x*cos(x)
Derivative of x^3
Solve d/dx x^3
Frequently Asked Questions
What is the derivative of atan(7x)?▼
The derivative of atan(7x) is 7*(1+49*x^2)^(-1).
How do you find the derivative of atan(7x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 7*(1+49*x^2)^(-1).
Why is the derivative of atan(7x) equal to 7*(1+49*x^2)^(-1)?▼
Because differentiation measures how a function changes — applying the rules to atan(7x) yields 7*(1+49*x^2)^(-1). See the full step-by-step breakdown above.