@ MyCCCC Single Sign-On X Bb Take Test: Final Exam - MAT X Bb MAT_271_Final_Exam_Spring X Mail - Walton, Alisha - Outlc X Q youth soccer near wake for X Blackboard Learn X + X https://coastalcarolina.blackboard.com/bbcswebdav/pid-4124413-dt-content-rid-23936342_1/courses/MAT-271-02W-122/MAT_271_Fi... to G K. to 4 of 14 Q + Page view A Read aloud T Add text | Draw v Highlight Erase 7. (4 pts.) Let f be differentiable on an interval. (a) Fill in the blanks for the definition of the derivative of a function f : f'(x) = lim (b) Use the definition of the derivative to find the derivative of f(x) = cos x. . HINT I: cos (a + B) = cos a cos B - sin a sin B. . HINT II: lim - cost - 1 = 0 and lim - sinc - = 1. I-+0 . HINT III: Note r is constant with respect to Ax. OneDrive . . . X Screenshot saved The screenshot was added to your OneDrive. 80F OLONGe W 8:22 PM Rain 5/6/2022 2@ MyCCCC Single Sign-On X Bb Take Test: Final Exam - MAT X Bb MAT_271_Final_Exam_Spring X Mail - Walton, Alisha - Outl X Q youth soccer near wake fort X Blackboard Learn X + X https://coastalcarolina.blackboard.com/bbcswebdav/pid-4124413-dt-content-rid-23936342_1/courses/MAT-271-02W-122/MAT_271_Fi... to G K. to 5 of 14 Q - + Page view | A Read aloud | T) Add text | Draw Highlight Erase 8. (8 pts.) Use the rules of differentiation to find the derivative of each function: (a) f(x) = 2.V4x2 -9 (b) g(x) = 3x - 7 I - 4 9. (4 pts.) Find the equation of the tangent line of f(x) = 3x2 - 12x + 16 at the point (3, 7) . OneDrive . . . X Screenshot saved The screenshot was added to your OneDrive. 80F W 8:22 PM Rain 5/6/2022 2@ MyCCCC Single Sign-On X Bb Take Test: Final Exam - MAT X Bb MAT_271_Final_Exam_Spring X Mail - Walton, Alisha - Outlc X Q youth soccer near wake for X Blackboard Learn X + X -> https://coastalcarolina.blackboard.com/bbcswebdav/pid-4124413-dt-content-rid-23936342_1/courses/MAT-271-02W-122/MAT_271_Fi... to G K. to 6 of 14 Q + Page view | A Read aloud T) Add text | Draw Highlight Erase 10. (4 pts.) Suppose the radius of a right circular cylinder is decreasing at a rate of 4 cm/sec and the height is increasing at a rate of 10 cm/sec. At what rate is the volume of the cylinder changing when the radius is 11 cm and the height is 7 cm? . HINT I: Volume of a right circular cylinder is given by V = mr2h. . HINT II: Recall the relationship between rate of change and the derivative. Are there given rates of change? . HINT III: Observe the product rule required when differentiating. Do the given rates of change show up? OneDrive . . . X Screenshot saved The screenshot was added to your OneDrive. 80F OLONGe W 8:22 PM Rain 5/6/2022 2