`(d)/(dx)(ax^(2)+bx+c)` ज्ञात कीजिए ।

(d)/(dx)[(ax+b)(cx+d)]=

(d)/(dx){log_(e)(ax)^(x)}

(d)/(dx) {e ^(ax)sin (bx+c)}=

d/(dx) (Ax + B)^(n)

d/(dx) (Ax + B)^(n)

Show that (d)/(dx) e^(ax) cos (bx + c) = r e^(ax) cos (bx + c + alpha) where r= sqrt(a^(2) + b^(2)), cosalpha= (a)/(r ), sin alpha = (b)/(r ) and (d^(2))/(dx^(2)) e^(ax) cos (ax + c) = r^(2) e^(ax ) cos (bx + c + 2 alpha) .

d/dx (ax+b)^(cx+d) =

d/(dx)[e^(ax)/(sin(bx+c))]=

Compute d/(dx) (sin^n(ax^2 + bx +c)), n in N .