Calculus 3.3

1.

Find the derivative of f(@) = -5vc+ Type your answer without fractional or negative exponents. Use sqrt(x) for VI. f' (x) =\fTI Find the equation of the tangent line to the curve 1; = 23in: at the point (E , 1) . The equation of this tangent line can be written in the form 1.! = m: + I? where 1w: *j CO 4 h(x) y- values y- values 2 4 3 4 Out x-values x-values g(x) If f@)= then h(x) f' ( 4) =Let s(t) = 6+3 + 27+2 - 180t be the equation of motion for a particle. Find a function for the velocity. v( t ) = Where does the velocity equal zero? [Hint: factor out the GCF.] t and t = Find a function for the acceleration of the particle. a(t)