10 Calculus Questions

1.

Differentiate the function. 6 F(r) 3 F'(r) sDifferentiate the function. F(x 260 f'(x )\fFind an equation of the tangent line to the curve at the given point. y = 6ex + x, (0, 6) V=\fFind the First and second derivative of the function. Check to see that your answers are reasonable by comparing the graphs of f, f ', and f ". f(x) = ex x7 r \"(x) = The equation of motion of a particle is s = to - 12t, where s is in meters and t is in seconds. (Assume t 2 0.) (a) Find the velocity and acceleration as functions of t. V(t) = a(t) = (b) Find the acceleration after 2 s. m/s2 (c) Find the acceleration when the velocity is 0. m/s2