Question

फलन का अवकलन कीजिए

(sin(ax + b))/(cos(cx + d))

Answer 1

मान y = (sin(ax + b))/(cos(cx + d))  ....(1)

या dy/dx = (cos(cx + d)d/dx(ax + b) - sin(ax + b)d/dxcos(cx + d))/(cos²(cx + d))

= (cos(cx + d)cos(ax + b)d/dx(ax + b) - sin(ax + b){-sin(cx + d)}d/dx(cx + d))/(cos²(cx + d))

= (cos(cx + d)cos(ax + b)(a) + sin(ax + b)sin(cx + d)(c))/(cos²(cx + d))