I For the graphs in Exercises 12, list the X-values for which the function appears to be \fIn Exercises 3-4, does the function appear to be differentiable on the interval of x-values shown?\fIn Exercises 5-7, decide if the function is differentiable at x = 0. Try zooming in on a graphing calculator, or calculating the derivative f (0) from the definition.\fDecide if the functions in Problems 8-10 are differentiable at x = 0. Try zooming in on a graphing calculator, or calculating the derivative f (0) from the definition. 8. A(x) = (x + /x/)2 + 112. Look at the graph of f(x) = (x2 + 0.0001)1/2 shown in Figure 2.70. The graph of fappears to have a sharp corner at x = 0. Do you think f has a derivative at x = 0? f(x) 20 10 + X -20 -10 0 10 20 Figure 2.7014. An electric charge, Q, in a circuit is given as a function of time, t, by C for t 0, where C and R are positive constants. The electric current, I, is the rate of change of charge, so dQ I = dt a. Is the charge, Q, a continuous function of time? b. Do you think the current, I, is defined for all times, t? [Hint: To graph this function, take, for example, C = 1 and R = 1.]Which one of the following statements is true? 0 a. If f[$) is not continuous at :1: : a, then f($) is not differentiable at x O b. If f(:B) is not differentiable at a: : a, then f($) is not continuous at :1: O c. If f($) is continuous at :1: : a, then f(:1:} is differentiable at :1: : a. Q d. All of the other statements are false. Find all the values of m for which the function f graphed below appears to be not differentiable. O a. m : U, 1 O b. m : 1,0,1 0 c. m :1 0 d. :1: | l l H u }_l Use your calculator to help you answer this question. Where does the graph of f(a ) = 3/x = 1/ appear to be not differentiable? Oa. x=-1 Ob. x =0 Oc. x=1 O d. nowhere: it appears to be differentiable for all ac.At which of the marked mvalues is the value of the first derivative f'(;1:) increasing? O a. 3:3 and :34 O b. 3:1, 3:4, and 335 O c. :32 and :33 Q d. .131, 3:2, and 3:5 In Question of they asked the differentiablity on the interval in values shown . So a function i's differentially if the graph of differentiable function has a non vertical tangent line at each interior point in its domain . and the differentiable function is smoth and does not contain any break, angle or asp. So we have the greaph of f(x) and it is continous in a given interval since there is no break in the graph of the function in the Entice internal Range. So the function is differentiable everywhere on the interval of a Values. Ans 6 it is given either prove differentiability by graphing or by defination. So I have Chosen the defination method. But Here is the graphing Method to check differentiability y = re - Iyani's Figl 2 -y - 3 -2 -1 0 2 3 naxis - 2 - 3