Let f(x, y) = + tan(xy – x³) , find дудх x-4y5 O a. 80y4 + sec2(xy – x³)(1+ (xy – 3x³) tan(xy – x³)) (x- 4y5)3 | Ob. 80y* + sec2(xy – x³)(1+(2xy – 6x³) tan(xy – x³)) (x- 4y5)3 80y4 + sec?(xy – x)(1 + (xy – 3x³) tan(xy – x')) (x - 4y5)3 O d. 80y4 (x – 4y5)3 + sec?(xy – x³)(1 + (2xy – 6x³) tan(xy –x³))

Q: a.) If f(x)= sin(In(x* )), find f'(x). b.) If g(x) = 5x find g'(x). %3D .2 x +3

A: (a) Consider the provided function, fx=sinlnx3 Find the derivative of the provided function. Apply…

Q: What is the rule of a function of the form f (a) = a sin(br +c) +d or f (x) = a cos(br + c) +d whose…

A: We are asked to find the equation of the graph.

Q: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

A:

Q: *) Use the Wronskian to determine whether the functions y₁ = sin(3x) and y₂ = cos(4x) cos(4x) are…

A:

Q: Suppose that y is a function of u, u is a function of x, and u = -1 when x = 2. If du/dx|x=2 = 3 and…

A: Solution

Q: 10 a b с d f(x) =tan(2x-n) g(x) =tan(x-n) h(x)= tan x-. ²) j(x)=tan(\/2- X

A:

Q: lim b→∞ 2x 22 x² + 1 -b dx.

A: To solve the following problem of integral and then find the limit

Q: Performing iterations on (25) respectively, leads to the following: n-1 X2km+j v; II n-1 Y2km+j…

A: Given: 2km+j=2km+j2+rj To find: Corresponding equation

Q: 1 -x2 + 6x dx = 10 - A In |-x2 + 6x - 10| + C -tan-1(x – 3) + C C -tan-1 (x + 3)+ C D tan-1(x – 3) +…

A:

Q: 6. dx = x + 4x + 5 (A) arctan(x + 2) + C (B) arcsin (x + 2) + C (C) In|r*+ + 4x + + C 1 (D) + C x° +…

A: Proceed as shown below...