question archive 1) Consider u = x*+1 v = Vu - 1 w = 8v-1

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1) Consider u = x*+1 v = Vu - 1 w = 8v-1. Find dw/dx dy

2.a) Determine Zx 1 - if y = V(5x2 -3)3 [3 b) State any values of x for

which the function is not differentiable. Explain

3. The position of a particle moving in a straight line is given by s (!) = 3 - 812 + 281, where s(t) represents the number of metres the particle is from a fixed point after t seconds. At what time(s) is the particle not moving?

1. a. Use the limit definition (First Principle) to determine the derivative of f ( x ) = V(2x - 3) b. Determine the slope of the tangent to f(x) at (10, 3). 2. Determine the equation of the tangent line to f (x) = (2x -1)3 v(5x - 1)3 at x =1 Write your answer in the form y = mx + b. 3. Determine the values of a, b, and c for A(x) = ax + bx + c so that f'(x) = 6x -3 and f(2) = -1.

1.Determine the slope of the tangent line to the curve f (x) = (x3 — 4x310:2 +1) at x = -1. 5x+2 3x—1 2. Determine the derivative of g(x) = 3. For what value(s) of I does 30:) = 3—1 have ahorizontal tangent? x 4. Determine the derivative of ?x) - [(sz + 1)3 + 1]2 at x = —2.