Q:

What is the derivative of cotx?

A:

The derivative of cot(x) is -csc^2(x). The derivatives of the secant, cosecant and cotangent functions are based on the derivatives of their reciprocal trigonometric functions. For example, the derivative of cotangent is equal to the derivative of one over the tangent of x.

Keep Learning

The derivative of one over the tangent of x can be simplified as the difference of the derivative of the tangent of x subtracted from the tangent of x times the derivative of one, with the whole difference divided by tangent squared of x. From there, the formula becomes the negative secant squared of x, divided by the tangent squared of x.

Sources:

Related Questions

• A: The ancient Greeks were the first to develop the conceptual framework of trigonometry. The noted Greek astronomers Hipparchus, Menelaus and Ptolomy contrib... Full Answer >
Filed Under:
• A: A rectangle has two lines of symmetry. It can be folded horizontally and vertically, from the middle of the sides, but it cannot be folded corner to corner... Full Answer >
Filed Under:
• A: The arc tangent (arctan) of 2 degrees is 63.43, while the arctan of 2 radians is 1.107. The function arctan(2) can also be described as the inverse tangent... Full Answer >
Filed Under:
• A: An isosceles triangle has two side lengths that are equal and a remaining side that is of a different length. The two interior angles that are opposite the... Full Answer >
Filed Under:
PEOPLE SEARCH FOR