Question 1

\f6 Find the derivative of f (w) = 202_9)5 Enclose numerators and denominators in parentheses. For example, (a - b)/ (1 + n). Include a multiplication sign between symbols. For example, a . . f' (w) =Find the equation of the tangent line to the graph of the function f (x) = \\ 4x4 + 12 at the point (1, 4). yFind the derivative of f (I) =- 10 5Ar+3 Enclose numerators and denominators in parentheses. For example, (a - b)/ (1 + n). Include a multiplication sign between symbols. For example, a . . f' (I) = Show your work and explain, in your own words, how you arrived at your answer.\fFind the derivative of f (x) = (x - 8) 4x5 + 1. Enclose numerators and denominators in parentheses. For example, (a - b)/ (1 + n). Include a multiplication sign between symbols. For example, a . . To enter va, type sqrt(a). f' (I) =Find the derivative of f (z) = -9 cot (I). Enclose arguments of functions in parentheses. For example, sin (2z). f (I) =Find the derivative of f (y) = 7 tan (y) - Vy 10 2 y3 y Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2x) or (a - b) / (1 + n). f' (y) =Find the equation of the tangent line to the graph of the function f (x) = sin (11vx ) at the point (2, 0) Enclose numerators and denominators in parentheses. For example, (a - b)/ (1 + n). Include a multiplication sign between symbols. For example, a . . y =\fFind the derivative of f (z) = -5. 42. Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2x) or (a - b)/ (1 + n). f' ( 2) = You can see, from this problem, why a base of e is more "natural" to use than any other base.Find the derivative of f (w) = 5In (w) + 14. Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2x) or (a - b) / (1 + n). f' (w) = Show your work and explain, in your own words, how you arrived at your answer.93/y Find the derivative of f (y) = In(y) Enclose arguments of functions, numerators, and denominators in parentheses. For example, sin (2x) or (a - b)/ (1 + n). Include a multiplication sign between symbols. For example, a . . f (y) =Find -by implicit differentiation, given that ry - 7y = -6. Your answer could involve both z and y. di Enclose numerators and denominators in parentheses. For example, (a - b)/ (1 + n). dyThe equation implicitly defines z as a function of t. - sin (3 z) = -9 Find dz dt dt