The maximum slope of the curve `y=-x^3+3x^2+9x-27` is 0 (b) 12 (c) 16 (d) 32

The maximum slope of the tangent to the curve y=e^(x)sinx,x in[0,2pi] is at

The maximum slope of the tangent to the curve y = e^(x) sin x, x in [0, 2pi] is at:

If x satisfies the condition f(x)={x:x^2+3 0le11x} then maximum value of function f(x)=3x^3-18x^2-27x-40 is equal to (A) -122 (B) 122 (C) 222 (D) -222

The minimum value of 2^(x^2-3)^(3+27) is a) 2^(27) (b) 2 (c) 1 (d) none of these

The slope of the tangent to the curve y = 3x^(2) + 4 cos x " at " x = 0 is

The slope of the normal to the curve y = 2x^(2) + 3 sin x at x = 0 is

Then angle of intersection of the normal at the point (-5/(sqrt(2)),3/(sqrt(2))) of the curves x^2-y^2=8 and 9x^2+25 y^2=225 is 0 (b) pi/2 (c) pi/3 (d) pi/4

Find the slope of the tangent to the curve y = x^(3) – x at x = 2.

The number of point in the rectangle {(x , y)}-12lt=xlt=12a n d-3lt=ylt=3} which lie on the curve y=x+sinx and at which in the tangent to the curve is parallel to the x-axis is 0 (b) 2 (c) 4 (d) 8