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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