Find the derivative of the function. g(x) = 800(3 - e-0.1x) Find the derivative of the...
Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. f(x) = 3 + x2: f'(- 9), F 'O), f (9) Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. 4 96) = 3. g'(-2), g'(4), g(6) o't)= dx if y = 7x3 dy || s={3 - 4+, t= -6 s'(t)= 0 ne indig y=f(x)= 3 + 14-x, (x,y)= (0,5) The derivative of...
Chapter 3, Review Exercises, Question 036 Find the derivative of the given function. g(x) = arctan(8x2 + 6) 9 (x) = 2 Edit Luapter 3, Review Exercises, Question 043 Find the derivative of the given function. y = 3* + 2 y 12 Edit Click if you
Find the second derivative of the function. y = 4(x2 + 2x)3 y" = _______ Find the third derivative of the function. f(x) = x4-4x3 f'''(x) = _______
Consider the following. 7 g(t) = 846 Find the first derivative of the function. g'(t) = Find the second derivative of the function. g"(t) = X Use the General Power Rule to find the derivative of the function. 1 y = 3 (8 - x3,8 y' = Find the derivative of the function. 3 8x 5 Y= 뉴 4-X y =
Find the indicated derivative for the given function. f"(x) for f(x) = e = x2 {"(x) =
Find the derivative of the function. y=5 e 2x2-3 dy 80 e 2x2x2 * + 20 e 2x2 X X Try again. Differentiate the exponential using the Chain Rule. to le 9(x) = g(x)g'(x) OK Find the derivative of the given function. y = (3x2 + 5x) -7x e -7x -7x y' = -21 e -7xx2 -29 +5e (Type an exact answer.) x X That's incorrect. The product rule states that if f(x) = u(x)•v(x), and if both u'(x) and...
uestion 2 Find the derivative of the function. y = (x + 1)2(x 2 + 1)-3 -2x + 1x2x2 + 3x - 1) (x2 +14 2(x + 1x2x2 – 3x - 1) (x2 +14 -2(x+1x2x2 – 3x - 1) (x2 +14 2(x + 1x2x2 + 3x - 1)
Question 17 Find the derivative of the function f(x) = 4e*cosx . Simplify your answer. 0 a. 4e*(cosx-sinx) 0 b. 4e*(cosx + sinx) 0 C. 4e*cosx ( d. 4e*sinxcosx e. -4e* sinx A Moving to another question will save this response.
(a) Find the following derivative: d In (5.y dz dB (6 marks) (b) Consider the following bivariate function: g(x,y)exp 8B In (4x2y2)] Find the elasticity of g with respect to x (6 marks) (a) Find the following derivative: d In (5.y dz dB (6 marks) (b) Consider the following bivariate function: g(x,y)exp 8B In (4x2y2)] Find the elasticity of g with respect to x (6 marks)
Use the fact that the derivative of the function g(x) = /x is g'(x) = 2/x to find the equation of the tangent line to the graph of g(x) at the point x = 1. %3D The equation of the tangent line is y = (Simplify your answer.) is f'(x) = Use the fact that the derivative of the function f(x) = to find the equation of the tangent line to the graph of f(x) at the point x= -...