AP CALC AB :: WORKED OUT PROBLEMS :: PROBLEMS XI:: Please refer to the images below for a step-by-step work out of problems. We will go over it during next lunch tutoring session ::
1) a particle moves along a straight line with velocity given by v(t)= 5 + e^t/3 for time t > or equal to 0. What is the acceleration of the particle at t=4? 2) the first derivative of the function f is given by f ‘(x)= cos^2 x/x - 1/5. How many critical values does f have on the open interval (0,10)? 3) what is an equation of the line tangent to the graph of f(x)=x^4 + 2x^2 at the point where f ‘(x) = 1