`(d)/(dx) c ="…..................."`

Given that d/(dx) (c_1u_1 +- c_2u_2 +- .........+- c_nu_n) = c_1d/(dx)(u_1) +- c_2d/(dx)(u_2) +- ....... +- c_nd/(dx)(u_n) and d/(dx) (c) = 0 if c,c_1,c_2,...........,c_n are constants and u_1, u_2,.....,u_n are functions of x. After expanding the square, differentiate (sqrtx + 1/sqrtx)^2 w.r.t. x

Given that d/(dx) (c_1u_1 +- c_2u_2 +- .........+- c_nu_n) = c_1d/(dx)(u_1) +- c_2d/(dx)(u_2) +- ....... +- c_nd/(dx)(u_n) and d/(dx) (c) = 0 if c,c_1,c_2,...........,c_n are constants and u_1, u_2,.....,u_n are functions of x. Using the given results, evaluate d/(dx) ((3x^2 + 12x - 11)/x)

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

If (d)/(dx) (sin x+c)=cos x , then find int cos x dx .

If (d)/(dx) (sin x+c)=cos x , then find int cos x dx .

If (d)/(dx) (sin x+c)=cos x , then find int cos x dx .

If (d)/(dx) (sin x+c)=cos x , then find int cos x dx .

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

If intsinx(d)/(dx)("sec x")dx=f(x)-g(x)+C , then