alleryStart learning →Home › AP EAMCET › Mathematics › Differentiation Rules › Since cos^-1 x = pi/2 - sin^-1 x, its derivative…
Since cos^-1 x = pi/2 - sin^-1 x, its derivative on (-1, 1) is
A-1/sqrt(1-x^2)
B1/sqrt(1-x^2)
C-1/(1+x^2)
D-1/sqrt(x^2-1)
Answer & Solution
Correct answer: A. -1/sqrt(1-x^2)
The constant pi/2 vanishes, leaving the negative of the sin^-1 derivative.
Related questions
Near a point, the derivative supplies which kind of approximation of the function?For f(x) = 2x^3 - 5x + 1, the slope at x = 1 isRewriting 1/x^2 as x^(-2), its derivative becomesFor positive x, the product x^3 ln x has slope functionThe curve y = x e^x has slope at the origin equal toSquaring the sine, y = sin^2 x, gives a slope function equal toThe common logarithm y = log10 x, for x > 0, has slope functionA bell-type curve y = e^(x^2) changes with x at the rate