Q. Find the particular solution of y' = 5 given that when x = 0, y = 2.
a) y=5x-2      b) y=5x+2      c) y=2x+5      d) None of these.

Q. As per gradient function, ∇ (f + g) = ?
a) ∇f+∇g       b) ∇f−∇g       c) ∇g−∇f        d) ∇ f. ∇ g

Q. The formula for the derivative of sine; d/dx (sin x) =
a) −cosx       b) −sinx         c) cosx           d) 1/cosx

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Q. The derivative of a constant is

a) 1                b) 0                 c) -1                d) infinity

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Q. The formula to find the derivative of sum of two functions is

a) d/dx(f+g)=df/dx+dg/dx      b) d/dx(f+g)=df/dx−dg/dx      c) d/dx(f+g)=−(df/dx+dg/dx)      d) d/dx(f+g)=1/[df/dx+dg/dx]

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Q. d/dx (cosh x) =

a) sinh x      b) -sinh x      c) sech x      d) -sech x

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