Mathematics Tes...

Which one of the following statements is correct?

Find the set of value of x for which f(x) = tan^-1 x is increasing in

The points on the curve y³ + 3x² = 12y where the tangent is vertical, is (are)

If f(x) is an increasing function and g(x) is a decreasing function such that gof(x) is defined, then gof(x) will be

The angle of intersection of the curves y = x² and x = y² at (1, 1)

For the given curve: y = 2x – x², when x increases at the rate of 3 units/sec, then how the slope of curve changes?

If y = 4x - 5 is tangent to the curve y² = px³ + q at (2, 3), then

If the tangent to the curve y = x³ + ax - b at the point (1, -5) is perpendicular to the line -x + y + 4 = 0, then which one of the following points lies on the curve

If the normal to the curve y = f(x) at the point (3, 4) makes an angle \(\frac{3 \pi}{4}\) with the positive x-axis then f'(3) is equal to

If the function f(x) = x² - kx is monotonically increasing in the interval (1, ∞), then which one of the following is correct?