Q#1. Find out the following Derivatives w.r. to x.
(i)       F(x)  =  (x+ 2)²          
 (ii) F(x) = tan²(x²)
 
(iii)       F(x)  =  ^_(x+ 1)2            
(iv)   F(x) = x² cos²(2x) 

Q#2. a)Define Integration and its Rules.
b) Find out the following integrations.
(i)     7Cos(5x)dx                    
(ii)(x^3/2+2x+3)dx
(iii)       (-6x³+9x²+4x-3)dx      
 (iv)1/x√x dx

 

#3 (a): Explain order of differential equation and Degree of differential equation with any example.
: Classify each of the following equations as ordinary or Partial differential equation.
(i)          x²dy + y²dx =0
⁽ⁱⁱ⁾          ∂²u / ∂x²+∂²u / ∂y²+∂²u /∂z²=0
(iii)        d²y / dx²+ x y=cos(x)