(A) (25%) Calculate the derivative of y = tan x at x = π/4 by first finding the derivative function and second substituting x = π/4. What is the value of y when x = π/4, and what do you get if you first substitute x = π/4 and second find the derivative of that? Which of the these two values would you use to find the corresponding tangent line? (B) (75\%) Calculate, at x = 1 and y = 1, the three partial derivatives az/x, z/ǝy, and a2z/ax ay, of the function x x = + In y cos 1+xy 2 (-/-) exp 1+2xy + 3x²y²+4x³y³ 42+ ln(1+xytan ¹(x/y)) You must calculate the partial derivatives by hand and show your work. A computer

Q: 1 - 2 9) Ans. r = 1

A: Given the matrix . We need to find it's rank. As we know that rank of a matrix is number of non zero…

Q: Find the derivative a. f(x)= 6/(3x2-pi)4 b. f(x)=((3x2-pi x)4

A: (a) given,

Q: 6. Determine the 19th derivative of the function y=sin(x). Fully explain the process you used to…

A:

Q: Using Desmos or other graphing software, sketch the graph of y = sin (2x). a. Using the tangents,…

A: Y=sin(2x)

Q: (g) y = (x +3)10(x +1)(3–5r). (h) y = (cos x)".

A: To find the derivatve of each of the following functions.

Q: Find the derivative of the following functions and simplify: a. g(z) = 8 / (5z4) b. p(θ) = 4θ -…

A:

Q: What's the derivative of y=2 tan x + 5 csc x

A:

Q: Find the derivative and don't simplify the answer. y=tan-1(5x4)+(cos-1(x))6

A:

Q: Determine the equation for the tangent to the curve y= sin(2x + π/3) at the point with x-coordinate…

A: Given

Q: Solve using a derivative y= 2x tan (3X+1)}" 3. 2.

A: Consider  y=2x3tan3x+12

Q: [6] Determine the 59th derivative of y=x60

A: Given,            y=x60To find : The 59th derivative of the function given.We know that,…

Q: Why is "B" 2?

A: