Test 2 Na Version A All cell Phones must be SWITCHED OFF. 1) Calculate the derivative of the function. Then find the value of the derivative as specified. f ( x ) = 5x2 - x / w f ' ( - 2 ) = 2) Find an equation for the tangent to the curve at the given point. h(t) = 14 - 3t - 4, (2, 6)y = 7cos(2x-3) - 6x2 + 404x 3) Find the second derivative y". 4) At the given point, find the slope of the curve or the line that is tangent to the curve, as 6x2y - n sin y = 67t, slope at (1, 7() 6 1 5) Find the derivative of y with respect to x. y = In _- x (x + 3) 5 N6) Find the derivative of y = 4x5e-7x 7) The position of a body moving on a coordinate line is given by s = t2 - 5t + 7, with s in meters and t in seconds. (a) Find s'(t) (b) When, if ever, during the interval 0 s t s 5 does the body change direction? Hint: s' = 0 (c) Find the acceleration a = s"t) 8) (5 points) Find dy/dx as a function y = secn - - XIA9) 7(5 points) Find the derivative of the function. f(x) = sin x 5 3 - Cos x 10) One airplane is approaching an airport from the north at 195 km/hr. A second airplane approaches from the east at 168 km/hr. Find the rate at which the distance between the planes changes when the southbound plane is 28 km away from the airport and the westbound plane is 24 km from the airport. A