Find the derivative of the function at Po in the direction of A. f(x,y) = - 4xy + y², P (8,4), A = -9i+2j The derivative of f(x,y) at the point Po in the direction of A is (Type an exact answer, using radicals as needed.)

Q: b) Find the derivative of f at the point P( – 3, – 2) in the direction of ü = ( – 1, – 1) fu( – 3, –…

A: The given function is fx,y=-0.02x2y3. Compute the gradient of f as follows. ∇fx,y=∂∂x, ∂∂y…

Q: Use the method of Characteristic to solve Burger's equation. ut - tuux = 2t, u(x,0) = 3x.

A:

Q: Find the following derivatives. Express your answer in terms of the independent variables  ws and…

A: To find out ws, wt

Q: B. Find the first and second derivatives of i- y =-10x+3cosx+(2x+3)(5x-4x) 5x+1 ii- y= 2x

A:

Q: 3. (a) For P(t) = (4t² + 3) (2t³ — t)¹², find P'(t). After taking the derivative(s), do not simplify…

A:

Q: Differentiate and simplify your answer (no radicals, no negative exponents, fully factored). State…

A: Solve the following

Q: Predict the location of vertical and horizontal asymptotes; holes; x and y intercepts. Show your…

A: Asymptote of a curve is a line whose distance with the curve tends to zero as the x or y or both…

Q: 2. Derivative of f(x) = - 9x + 4 is: a) 9 b) - 9 c) 4 d) 0

A: Derivative of constant is 0

Q: Find the derivatives – do not simplify a. y= x4- 3square root of x + 5x2/3 +8/x-3

A: ddxxn=n xn-1

Q: 6. Use the rules for derivatives (not the definition) to find the derivatives below. You do not nced…

A: Given: f(x)=y1=x-x2   and g(x)=y2=2x+12(1-2x) We have to find the derivative of the given function…