1. Find f'(x) from the first principles, that is, directly from the definition of a derivative 4- x a) f (x ) =: 3+ x b) f (x) = x3 +5x+4 2. Find the derivative of f (x) a) f ( x) = (x+ 2) 8 (x+ 3 ) 6 b) f (x ) = 2x(x2 + 1) 1 3 c) f ( x ) = Vx+ 3x d) f (x) = - 2x+4+ 2x2 X x + v3x e) f(x) = f) f (x ) = V9 - 4x 3x - 1 3. Find an equation of the tangent to the curve at the given point X a) f (x) = (2,1) x2 - 2' b ) f ( x ) = xV 1+ x 2 (1, V2) 4. If f (x) = xV5 - x a) Find f'(x)