Consider the following function. Find the following derivatives. fx(x, y) = f(x, y) = x² + xy + y² + 7y f(x, y) = 1xx(x, y) = fxy(x, y) = (x, y) = Find the critical point. -(C (x, y) = Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to use a calculator or computer to graph the function with a domain and viewpoint that r all the important aspects of the function. (Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) local maximum value(s) local minimum value(s) saddle point(s) (x, y) = 100

Q: Find all local maximum and minimum points of y = 2 + 3x − x³ by the second derivative test.

A: y = 2 + 3x - x3    => y' = dy/dx = 3 - 3x2 = 0 (set)                => 3(1 - x2) = 0…

Q: e critical point of the function. Then use the second derivative test to classify the nature of this…

A:

Q: Find the derivative of the function. 4² – 1 4x 4x g(x) = du Hint: f(u) du = f(u) du + f(u) du Jax u…

A:

Q: 2. Find the derivatives: (a) f(x)=(x² - 2x+1) (x² -1) x+2x+5 (b) f(x): %3D x² +1

A: Part (a) Given a function Using product rule of the derivative

Q: Find an equation of the line tangent to the curve f(x) = e4x at the point (0, f(0)). x + 1 4x + 1 4e…

A: Put x=0

Q: Can you find the linearization L(x) of the function at a.

A: We first find the first order Taylor polynomial centered at ( a = 4), which is given by:…

Q: Find the linearization

A:

Q: Use the rules for derivatives to find the derivative of each function defined as follows. For now,…

A: Function 26: y=4x2(3x−2)5  :  Therefore, using the chain rule to differentiate function 26, we…