L Find the derivative..the following.vecter.Fimctrenss ?It).= ei +In(1+3t). k.. -1

Q: » Given : x - xy + y? = 4 a) Find dY by implict differentiation : b) Find the equation of the…

A: Given equation, x3-xy+y2=4 To differentiate the term, use the formula, xn=nxn-1

Q: Find the derivative of the function ?

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Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In…

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Q: H.w. 1 Find an equation of the tangent line to the function y = at the point; () P(2,). (0) P(글,4)

A: At a production level of 3900 items, the total cost is $5000 and the marginal cost is $35. Use this…

Q: Q2//A/ Find the derivatives of the following fiunctions: 1+x -4 1- y 2- y = cscx cot.x + 3- y =eV4x…

A: 1. y = (1+x-4√x)/√x 2. y = cscx cotx + 1/x2 3. y= e√(4x^2+1)

Q: H.w. 1 Find an equation of the tangent line to the function y = at the point; () P(2;), () P(글,).

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Q: Find the first and second derivatives of the given function. w = 6z? e? %3D dw dz ||

A: Given: w=6z2ez Differentiate the equation with respect to z.…

Q: Q1 Find the derivative of the following function : a) f(r) = cos(r + T) – tan(2r) b) f(r)= e- sin z

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Q: 1. Find the derivative (dy/dx) of the following functions: a) xy = cot xy

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Q: Which of the following is the derivative of the function h(y) = e°? On (y) = e³y Oh (1) = e Oh (y) =…

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Q: 3.) Which of the following rules for calculating derivatives is NOT true? a) (e) 0, where e is…

A: Since this is a multiple question, according to Bartleby answering rule, only the first question is…

Q: 4) aresing inx + Vy?-x? =1 find t he value of the second order derivative at the point(0,1) for this…

A: We can written as, acrsinxy =sin-1xy By derivative formula we know that, d2yd2x=ddxdydx and…

Q: 5. Find the following derivatives: a) y = x?e-2/x b) y = t tan -t- t -Int

A: Given:  5)a) y=x2e-2xb) y=ttan-1t-12lnt To find: Derivatives of the given functon.

Q: Find the derivatives of the following functions. d r? +3 (a) dr VTI +1 d (b) [a3 sin(5.x) tan x] da…

A: As per the company guidelines we are supposed to answer only first 3 subparts.Kindly repost the…

Q: 13. Find the derivative of the following functions and simplify the answer: 2x + Va 1y (a' 5x2 - 7…

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Q: 2. Find the derivative of the following functions: 3 + cot x (d). g(x) 3 – cot x

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Q: Find the derivative of the trigonometric function. g(t) = 9 (cos(πt))4

A: Given    g(t) = 9 (cos(πt))4 Differentiating with respect to t,g'(t) = ddt9 (cos(πt))4g'(t) =9 ddt…

Q: (a) Find the derivative, dy of the following function: da y= arccos( sin z) Show your work. You may…

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Q: (a). Find the derivatives for each of the following functions (i). y = sin(2x + 3). In 3r (ii). y :…

A: According to our guidelines, we can answer only one question other questions can be reposted.

Q: Which of the following is the slope of the tangent line to f(x) = cos(ax), a ER at x = T? O-a O-1 O…

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Q: Find the derivative of the following functions: b). ?(?)=2tan^−1(?)−7?

A: To find the derivative of  y(x)=2tan-1(x)-7x

Q: Find the derivative of each of the following. You do NOT need to simplify your answer. (a) y = (e" +…

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Q: Q4) Find the derivatives of the following functions (answer two only): secx a) y = f,c* (t -) dt %3D…

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Q: Find the derivative of the trigonometric function.

A: To Find: The derivative of ht=2cot2π t+2

Q: Find the derivative of the trigonometric function. h(t) = 2 cot2( t + 2)

A: h(t)=2cot2(t+2)Here we use the concept of chain rule. Formulas ddxxn=n xn-1ddxcot x=-csc2x

Q: Find the 149th derivative of (1 + x°)¨ at x 25 =D0 Question Help: M Message instructor Add Work…

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

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Q: elp+2) g(x, y, z) = ; find gy ,1,0 sin(x+z)"

A: Giveng(x,y,z)=exy+zsin(x+z)

Q: Find the derivative 4 f(x)=/9sin? C~)+ 4 cos?(x) %3D

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: Find the differential of each function.

A: (a) Differentiating with respect to t, we get

Q: cos?t 1. Find the derivative of f(t) :

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: ,dy QI/ Find (- ) to the following functions: dx

A: We have to differentiate with respect to x.

Q: Given f(x) = 6xeª csc(x), answer the following: a) f'(x) = b) The equation of the tangent line to…

A: fx=6xexcscx a). Differentiating with respect to x, we get…

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: Let yu + 3v+7 =2. Complete parts (a) through (c) below. du (a) Find the derivative dv du dy

A: Note: As part (a) is only attached solved that for you.

Q: (b) Find the derivative of the following functions with respect to x . y? sin x+y = cotx (iii)

A: Using derivatives of implicit functions. As per our guidelines we are supposed to answer?️ only one…

Q: nd the derivative of v at? + Assume a and b are constants. We have v = %3D

A: Given query is to find the derivative of the expression.

Q: Q3) Find the derivative of y for all functions the following (1) y 0 (sin (In 0) + cos (In 0)) %3D

A: Q3) (1) Differentiate with respect to Use chain rule to find the derivative of y

Q: Find the derivative of the following functions. Show complete solutions, including trigonometrie…

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Q: 13. Find the derivative of the following functions and simplify the answer: 2x + V (a) I 9a2-8 e y =…

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Q: Find the first order derivative for the following: cot(e(3•Z)t) sin(z•t²) S = t5

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Q: 10. The slope of the tangent line to the curve y(cos x)+e' =5 at the point where x= is In5 (c) (5+…

A: Given that

Q: Find the derivative and simplify: y = cotVt - 1 1 2tvt - 1 1 2t/t -1 tVE -1 1 tvt-1 QUESTION 9 SLL…

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Q: Find the derivative of the trigonometric function. Re) = e® sin(e) f (e) = -1

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Q: Find the derivatives of the functions q = cot (sin t/t)

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Q: the derivative of the function f(x,y) = - 4xy – 4y², Po(10, PA) (10.- 7) =0 (10, – 7) Type an exact…

A: Given: f(x,y)=-4xy-4y2 And A=4i-2j

Q: C-the derivative is y = 0³ e 28 cos 50

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Q: Find the requested higher-order derivative for the given function. d'y of y = 6 cos(x) dæ3 Preview…

A: You need to know the formula of differentiation of trigonometric functions.

Q: у2 3 csc2 5x cot? 5x — CSC+ 5x сot? 5x

A: Use chain rule to find derivative

Q: Which of the following is the derivative of y = Select one: dy a. da 3. dy b. 3. dy C. da 2. dy d.…

A: Option (b) is correct.