Home › AP EAMCET › Mathematics › Differentiation Rules › Setting y = sin^-1 x gives x = sin y, which lead…
Setting y = sin^-1 x gives x = sin y, which leads to dy/dx equal to
A1/sqrt(1-x^2)
B-1/sqrt(1-x^2)
C1/sqrt(x^2-1)
D1/(1+x^2)
Answer & Solution
Correct answer: A. 1/sqrt(1-x^2)
Differentiating x = sin y gives dy/dx = 1/cos y, which is 1/sqrt(1-x^2).
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