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- Explain the relationship between the slope and the derivative of fx at x=a.Find derivatives of the functions defined as follows. y=e-x2Determine the derivative of y = 3x Select one: 3 A. y' = 2 -3 В. у' 2x3 -3 C. y' = 2 2x O oy- 3 3 D. y': 2 Determine the derivative of y = (5x2 + 7)3. Select one: A. y' = 3(5x² + 7)² В. у' %3D 10х
- Find the derivative. h'(w) = h(w) = (w4 - 5w)4 4(w4 - 5w) ³. (4w³ - 5) XCalculate the second and the third derivative of y = 3x y" = y'" = Note: You can earn partial credit on this problem. 1 inflection points 3 X blem 10. Find the inflection points of f(x) = 6x4 +58x³ - 30x² + 10. (Give your answers as a comma separated list, e.g., 3,-2.)Find the derivatives of f(x) = xcosx V1+x?