Find the derivative of 1/ x?
Answer: The derivative of 1/x with respect to x is -1/x^2.
Calculus Basics
The derivative of a function gives us a new function that outputs the rate of change of the original function. The derivative of 1/x, with respect to x, is -1/x^2. This means that the slope of the tangent line to the curve y = 1/x at any point is -1 divided by the square of the x-coordinate of the point.
FAQ on Calculus
What is the derivative of x^2?
The derivative of x^2 is 2x.
What is the derivative of x^3?
The derivative of x^3 is 3x^2.
What is the derivative of sqrt(x)?
The derivative of sqrt(x) is 1/(2*sqrt(x)).
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