Derivative of Secx – Maths

Derivative Secx : The secondary trig functions are cosecant, secant, and cotangent [csc, sec, cot]. They are ratios that relate side lengths (opposite, adjacent, hypotenuse) to an angle in a right triangle. So secX is just the ratio of the length of a hypotenuse to the length of an adjacent side.

d⁄dxsec(x) = tan(x)sec(x)

For example, the derivative of

d⁄dysec(y) = tan(y) sec(y),

and the derivative

 d⁄dzsec(z) = tan(z)sec(z).

The sec(x) derivative rule is

sec(x) = 1/cos(x)

quotient rule on 1/cos(x)

[sin(x)/cos(x)] [1/cos(x)]

sin(x)/cos(x) = tan(x),

1/cos(x) = sec(x)

Therefore, it simplifies to

tan(x) sec(x),

Answer is :

the derivative rules

d⁄dxsin(x) = cos(x)

d⁄dxcos(x) = -sin(x)

d⁄dxtan(x) = sec2(x)

d⁄dxcot(x) = -csc2(x)

d⁄dxcsc(x) = -cot(x)csc(x)

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