\fCompute each of the following derivatives. 0' 3 = (\"cum") d 3/4 = (mdxax ) Submit Answer 3. [-11 Points] DETAILS Math 110 Course Resources - Derivatives Course Packet on basic rules of differentiation If h(z) = 226 725 323 + 9 , compute h'(z). 4. [-I1 Points] DETAILS 2 L I If = 4 + + + 30, m t . 9(5) \\/E s \\/E co pu e g (s) 9'(S) = Submit Answer 5. [-I1 Points] DETAILS 2 _ If 9(5) = 65 S1215 + 4 , compute g'(s). Hint: Simplify g(s) by writing it as a sum of power functions before computing g'(s). 9'(S) = Submit Answer 6. [-I1 Points] DETAILS 2 + If 9(5) = W, compute g'(5). Hint: Simplify g(s) by writing it as a sum of power functions before computing g'(s). 9'(S) = 7. [-/1 Points] DETAILS MY NOTES Let f(x) = (x9 + 2)(x8 + 5). Compute f'(x) by first expanding f(x) and then differentiating term-by-term. f' ( x ) = Submit Answer 8. [-/1 Points] DETAILS MY NOTES Let f(x) = (x5/2 - 7)(x7/2 + 8). Compute f'(x) by first expanding f(x) and then differentiating term-by-term. f' ( x ) = Submit Answer 9. [-/1 Points] DETAILS MY NOTES Determine the equation of the line tangent to the curve y = 8x + at the point (4,33). y : Submit AnswerMath 110 Course Resources - Video Tutorial Consider the function f(x) = X4 32x2. Determine the number of points on the graph of y = f(x) that have a horizontal tangent line. In other words, determine the number of solutions to f'(x) = 0. : Determine the values ofx at which for) has a horizontal tangent line. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any horizontal tangent lines. Submit Answer The total monthly revenue R(x), in dollars, generated from sales of Math t-shirts is related to the amount x spent on advertising by R(x): 4x3 + 50x2 + 70x + 60 where x is in hundreds of dollars. Compute the rate of change of revenue with respect to the amount of money spent on advertising. R'(x) : Is monthly revenue increasing faster when the amount of money spent on advertising is 440 dollars or 540 dollars? O 540 dollars O 440 dollars Submit Answer If f(x) = 3x2 5x + 43, evaluate hlimo M + \"h ' f4 . If an answer does not exist, enter DNE. 13. [-I1 Points] DETAILS Math 110 Course Resources - Derivatives Course Packet on using the derivative to compute limits 1 Evaluate lim L hat) h i 3 . If an answer does not exist, enter DNE. Submit Answer 14. [-I1 Points] DETAILS Math 110 Course Resources - Derivatives Course Packet on using the derivative to compute limits Evaluate lim V15 + h _ V. 15. hat] 1'? If an answer does not exist, enter DNE. E