the. indicaled.partial.derivative.s. a. f(xny)=sin(2x+3y) (3,4)?.. .C. f.(.u.,V.w) W ton(ul

Q: Find the partial derivative of the function with respect to each variable. 28 h(p,p.0) = p cos p sin…

A: The partial derivatives of the given Function is given as

Q: Find the slope of the tangent line at a for the graph of the f(x) = xtan z y(x) be given implicitly…

A: a) Here we have to find the slope of the function f(x)=xtanx .......................... (1)  Let…

Q: is differentiable at r 2. 2. (a) Using the definition of derivative, compute for the slope of the…

A:

Q: Find the firs t derivative of the f anction y=4sin[sselur)] at the Point x= T

A:

Q: Find the derivative Zs and Zt, where Z= e^x+2y, x=s+t^2, y=t+tans

A: Obtain the derivative Zs as follows.

Q: Find the derivative, dy / dx, at the points where x = 1 on the folium                    (x 2 + y 2)…

A: given,       (x 2 + y 2) 2 = (25/4) x y 2 .

Q: compute the derivatives indicated. g(x, y, z) = x*y°z°, 8xxyz

A: The expression gx represents the partial derivative of g with respect to x. Subsequent sub-notations…

Q: compute the derivative.  h(y) = y tanh(4y)

A: The derivative will be computed using the product rule of differentiation (fg)'=f'g+fg'. Also the…

Q: The volume of a right-circular cone of radius r and height h isV = π/3 r2h. Suppose that r = h = 12…

A: Consider the given: Volume,V=π3r2hr=h=12 cmDifferentiate w.r.t. "r",dV=π32rdrh    ⋯⋯11cm increase in…

Q: Find the total derivative, (w? – 3w) dy of: y = f(x, w) 5x? + 4xw + w?, where r = g(w) --

A:

Q: dy Find the derivative, y' = dx , of y = sin(cos(tan(sec(csc(cot(x²))))))

A:

Q: 11. Find the first derivative of y = arccot (). a. y' 1+ b. y' = 1+x² 21 c y' = 14 d. y' = 14x0 e.…

A:

Q: + (z), V1– 2z y =1- cos (z) + /1 – 2z

A: Given : y = xcos-1x+1-2x

Q: Find the slope of the tangent to the curve y = sin x sinx at x= O a) -1 O b) 1 Oc) 2 d) 0

A: Given : y = xsinx,     at  x=π2

Q: Find the derivative of y with respect to t. y= cot 5t dy dt

A: Topic-Differentiation

Q: If the derivative of y = etanx is y' = m etan x, what is m? A. sec x tan x B. 1+ tan?x C. 1- tan?x…

A:

Q: Find the derivative of the following functions without skipping steps w = 7x sin (z?) – z? sin (y) +…

A:

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3x-2 1. Z=. ;d'z/dx? (x-1)2 2. Y= (2 – x³ )5…

A: Given: 1. z=3x-2x-122. y=2-x353. y=2x+125

Q: find the derivative of y with respect to x, t, or u,as appropriate.55. y = ln (cos^2 u) 56. y = ln…

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Find the derivative of the folowin g tetion 5(tansc) BIY= Tin1o](Sin )C cosse) Cy'= Dy= %3D Sn(…

A:

Q: In what directions is the derivative of f(x,y) = xy + y at P(4,5) equal to zero?

A:

Q: 29. Differentiate the following implicitly to find dy/dx. Then find the slope of the curve at (1,…

A: Given: x3+y3=9 To Find: Differentiate the following implicitly to find dydx.Slope of the curve at…

Q: what is of point Fyl-2,0) fexsy)=(x3ーy+g)s

A:

Q: find the derivative of y with respect to x, t, or u,as appropriate. y = e^(cos t + ln t)           .…

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: Find the derivative of the function f(z,k) = z^4— 16k^3+ tanh(z) — 4 csc(k) in terms of z and k ?

A:

Q: The derivative of y=eov? +cosh/x equals Select one: O y' = 2/x et +sinhx + sinh/x O None O y'=@ov +…

A: This is a composite function. Therefore we have to use rules for derivative of composite functions.

Q: Which is not the about f(x) = |x|? Continuow at O no targent line at 0 Derivative from left at O is…

A: Use the function value to evaluate which one is false

Q: Find the derivative of the function using the definition of derivative. dy Ay lim dx A-0 Ar 1. y=37…

A:

Q: Birinci mertebeden geri yön sayısai Ay O a) y': h Vy O B) y'= O NS) Vy y'= h

A:

Q: Find the derivative of the following functions. (a) f(x) = tan(x) tanh(x) (b) g(x) = e** cosh(2æ)…

A:

Q: Find the derivative of y with respect to the independent variable. y = 2ln 2t 2 In 2 t OB. 2In 2t In…

A:

Q: 8. What is the derivative of y= Vu in terms of x? dy a) 2/y dulas b) 2vu d) 2/u

A:

Q: I. Determine the equation of the tangent line to the graph of f(x) V3+ 5t5 dt at I= 1.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The derivative of the function y = sin VE at a = is equal to %3D 4 14

A:

Q: In what direction is the derivative of f(x,y) = xy + y at P (3, 2) equal to zero?

A:

Q: find the derivative of y with respect to the appropriatevariable. y = t2 tanh 1/t

A:

Q: Calculate the derivative of the function r(t) i+ cos' (61)j + lIn (2t³)k. t - 2

A: Given : r(t)=-5t-2 i +cos-1(6t)  j +ln2t5 k We have to calculate the derivative of the given…

Q: Find the derivative of the given function. y=1.75(1-2) y%3D dy II

A:

Q: (c) Find the equation of the tangent plane to the graph of f(x, y) at (1,1,3).

A: Suppose surface S defined by a differentiable function  z=fx,y and point Px0,y0,z0 lie on the…

Q: In what directions is the derivative of f(x,y) = xy + y at P(8,5) equal to zero?

A:

Q: Find the partial derivative of the function with respect to each variable. h(p,p,0) = p cos p sin 0…

A:

Q: ind the derivative of y with respect to x. y =-cos-16x + 7° 6 6. 1 + (6x + 7)2 81 - (6x + 7)2 O 4.…

A:

Q: Which of the following is not correct regarding signs of derivatives A. If dy/dx>0, then the curve…

A: We are asked to find which statement is not correct.

Q: Given the curve y2º = x in the xy-plane, for what value of y, if any, does the derivative of y with…

A: Differentiation w.r.t to x

Q: The derivative of y with respect to given a = 1 is Onone of the choices O y = yx³-1 O V = 0 = = 9 *…

A: I have stated the used formula in the solution

Q: dy c) Use implicit differentiation to find for 2xcosh (y)-In(tanh x)= y? dx

A: Given: 2xcosh-1y-lntanhx=y2   We know that; The Product rule: f·g'=f'·g+f·g' The chain rule:…

Q: Given the curve y2" = z in the ryplane, for what value of y, if any, does the derivative of y with…

A:

Q: H.W: Use the chain rule to find the derivative of w= x² + y² with dw respect to t (dr), with x =…

A:

Q: xy f(x, y) : a3 + y3/2

A: on doing partially differentiation with respect to x and y we get