Plot `y=sinxa n dy=sin(x/2)`

Plot y=sinxa n dy=sin2xdot

Plot y=sinxa n dy=2sinxdot

Statement 1: Both f(x)=2cos x+3sinxa n dg(x)=sin^(-1)x/(sqrt(13))-tan^(-1)3/2 are increasing in (0, pi /2) Statement 2: If f(x) is increasing, then its inverse is also increasing.

The number of points of intersection of two curves y=2sinxa n dy=5x^2+2x+3i s a . 0 b. 1 c. 2 d. oo

Sketch the region bounded by the curves y=x^2a n dy=2/(1+x^2) . Find the area.

Find (dy)/(dx) for the function: y=e^sin(x^2)

Which of the following pair of graphs intersect? y=x^2-xa n dy=1 y=x^2-2x +3 and y=sinx y=x^2-x+1a n dy=x-4

Prove that graphs y=2x-3a n dy=x^2-x never interest.

Does there exists line/lines which is/are tangent to the curve y=sinxa t(x_1, y_1) and normal to the curve at (x_2, y_2)?

Does there exists line/lines which is/are tangent to the curve y=sinxa t(x_1, y_1) and normal to the curve at (x_2, y_2)?