What is derivative of Secx TANX?

What is derivative of Secx TANX?

Calculus Examples The derivative of sec(x) with respect to x is sec(x)tan(x) sec ( x ) tan ( x ) . The derivative of tan(x) with respect to x is sec2(x) sec 2 ( x ) .

What is Secx the derivative of?

Sec(x) Derivative Rule Secant is the reciprocal of the cosine. The secant of an angle designated by a variable x is notated as sec(x). This derivative rule gives us the ability to quickly and directly differentiate sec(x).

What is sec tan equivalent to?

How do people remember this stuff?

Verbal description Mathematical relationship
secant The secant is the reciprocal of the cosine. sec ⁡ ( A ) = 1 cos ⁡ ( A ) \sec(A)=\dfrac{1}{\cos(A)} sec(A)=cos(A)1
cotangent The cotangent is the reciprocal of the tangent. cot ⁡ ( A ) = 1 tan ⁡ ( A ) \cot(A)=\dfrac{1}{\tan(A)} cot(A)=tan(A)1

What is the integration of Secx?

The integral of sec x is ln|sec x + tan x| + C. It denoted by ∫ sec x dx. This is also known as the antiderivative of sec x.

What is the 2nd derivative of secx?

Derivatives ›. Second Derivative. Pre Algebra. Order of Operations Factors & Primes Fractions Long Arithmetic Decimals Exponents & Radicals Ratios & Proportions Percent Modulo Mean, Median & Mode Scientific Notation Arithmetics. Algebra.

What is the derivative of SEC(3x)?

To apply the Chain Rule, set u u as 3 x 3 x. The derivative of sec ( u) sec ( u) with respect to u u is sec ( u) tan ( u) sec ( u) tan ( u). Replace all occurrences of u u with 3 x 3 x. Differentiate.

What is the antiderivative of sec(x)?

What Is the Antiderivative of Sec (x)? The antiderivative of sec (x) is equal to ln |sec (x) + tan (x)| + C, where C represents a constant. This antiderivative, also known as an integral, can be solved by using the integration technique known as substitution.

What is the second derivitive of sec x?

The derivative of sec ( x) sec ( x) with respect to x x is sec ( x) tan ( x) sec ( x) tan ( x). Raise tan ( x) tan ( x) to the power of 1 1. Raise tan ( x) tan ( x) to the power of 1 1. Use the power rule a m a n = a m + n a m a n = a m + n to combine exponents.