7:58 .1 5G Question Tutorial For the graph shown below, find all values of x for which f(x) is not differentiable. 5 4 3 2 -6 -5 -4 -3 -2 -1 O 3 5 6 X -1 -2 -3 -4 5 -6 X a.) x = 4 b.) f(x) is differentiable for all x-values. ( c.) X = - 2, X = 1, X = 4 ( d.) x = - 2, X = 1 SUBMIT MY ANSWER Report an issue with this question app.sophia.org4 The Product Rule LEARNING OBJECTIVE: Find the derivative of a function using the product rule. Find the derivative of f" '1 '= 9i - Jun ".*"'1'1"%- -. SUBMIT MY ANSWER 7 - Derivatives of Trigonometric Functions LEARNING OBJECTIVE: Compute derivatives that combine tanx/cotx/cscx/secx with past rules. KOOOD Find the derivative of f(x) = 3x +2 5cotx a.) f' (x ) = - - 3 O 5csc x b.) f'(x) = -3cotx - 3xcsc2x-2csc2x O 5cot2x C.) 3cotx + 3xcsc2x + 2csc2x O F ( x ) = 5cot-x d.) 3cotx - 3xcsc x - 2csc2x O f' ( x ) = 5cot-x SUBMIT MY ANSWER3 Derivative of Elementary Combinations of Functions LEARNING OBJECTIVE: Find the derivative of a function using combinations, constant multiples? andror sums and differences _ 'liE: .. - __4+ Lam- SUBMIT MY ANSWER \f5 The Quotient Rule LEARNING OBJECTIVE: Find the derivative of a function using the quotient rule. Find the derivative of f" - II $UBMIT MY NSWER 8 - Higher-Order Derivatives LEARNING OBJECTIVE: Compute and interpret 2nd, 3rd, etc. derivatives of a function. KOOOD Find the third derivative of f(x) = 5 4 -4sinx. a.) f." ( x ) = - 600 O - + 4cosx b.) f"" ( x ) = 60 O -4cosx 60 O C.) fill ( x ) = - - +4cosx O d.) ("" (x ) = - 600 -4cosx SUBMIT MY ANSWER6 - The General Power Rule for Functions LEARNING OBJECTIVE: Compute the derivative of a function of the form (f(x))". KOOOD Find the derivative of f(x) = $8x3+ 27. ( a.) f'(x) = 2 b.) O f' ( x ) = 3(24x2) 3 C.) O f' ( x ) = 1 3(8x3+ 27) 3 d.) f' ( x ) = 8x2 O (8x3 +27) 3 SUBMIT MY