Find the derivative of the function F(x) cos t dt- -Va sin Va-cos VE 2а ут cos Vr cos Vx VT sin Va-cos va cos Vx 2х

Q: 4. Find using derivative rules. dx sinx x8+x x2 tanx (a) y = (b) y= (c) y = cos³(3x² + 9) cos(5 x*)…

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: 9. State the Second Derivative Test for functions of two variables z = f(x, y)

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Q: Find the derivative of the function. y = sin(x cos(x)) y' = %3D

A: The given function is y = sin (x cos (x)),   To find the derivative of the function, here we apply…

Q: find the critical points and apply the Second Derivative Test (or state that it fails). f (x) = sin2…

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Q: Find the derivative of the function y = sech−1 (sin x), 0 < x <   /2

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Q: Calculate the derivative using implicit differentiation: ∂w/∂z,x^3w+w^7+wz^2+2yz=0 ∂w/∂z = ?

A: To find the implicit derivative of the given equation.

Q: Find the directional derivative of f(x, y) = 3x² - 2y² at point ,0) to point 3 (-2-1,0) 0(0,1). in…

A: Let's find directional derivative.

Q: Find the derivative of the function. 5x g(x) = [¨ cos(r}]dt cosx

A: We will use Lebnitz rule to differentiate the function .

Q: The instantaneous velocity of a particle is defined as the derivative of some functions. Select one:…

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Q: Find 3rd order derivative of y with respect to x , if x = a sint, y = b cost.

A: Given: x = a sint y = b cost -------------------------------------------------- To find: 3rd order…

Q: Find the derivative of the function f(x,y) = x +xy + y at the point (- 2,- 1) in the direction in…

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Q: Find the derivative of the function f(x.y) = tan -1y at the point (- 9,9) in the direction in which…

A: To find the derivative of a function at a point (-9, 9) in the direction in which the function…

Q: Calculate the derivative using implicit differentiation: dw x'w + wt + wz² + 4yz = C dz ||

A: Given problem:-

Q: Find the derivative of the function. F(x) = et dt

A: The function is given as F(x)=∫xx2et4 dt. The Leibnitz rule of differentiation under the integral…

Q: y = x* + 2 sin(x) + xº + 24*.

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Q: ve of √sin(x)=y

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Q: What is the derivative of cosh-1(xy) + elog x = sec3(y2)

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Q: Find the derivative of y with respect to the appropriate variable 65. y = sV1 – s² + cos¯s 66. y =…

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Q: Find the derivative of the function. y = ek tan(V 5x) y'(x)

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Q: Find the derivative of the function. y=x5 7 3x7 O y'=- 2x3.7 O Y'33 O Y'=. 2x3.7 O Y'=. 3x7 + 5x4…

A: Given, y=x5x3+7

Q: find the first order derivative of y=sin 0.5√x/x at x=8, h=0.2 a. Forward difference B. Backward…

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Q: Obtain the derivative of the function y (3 sen(4x))° ( tgʻ(2x)) y = (sec(2x))* – 1

A: This question is based on Trignometric application and diffrentiation of function.

Q: Calculate the derivative using implicit differentiation: ∂w/∂z,…

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Q: Find the derivative of the function. y = (( 1- cos 2x ) /( 1+ cos 2x ))4

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Q: Shows the derivative function of: TC = Q³ + 2Q²  + FC(Q), where TC = Total Cost and FC = Fixed…

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Q: Find the derivative of the function by using the chain rule. sinx (a) h(x) = tan(x³ sinx) (b) y= %3D…

A: To find the derivative of the given function using the chain rule, which is:…

Q: Compute the derivative using derivative rules. y = cos(te- 2t)

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Q: Suppose that f(x, y) = x°y². The directional derivative of f(x, y) in the directional and at the…

A: we will find the directional derivative

Q: Is the functionf(x) = |x| cosx differentiable at the point x =0 ? (Use definition of the derivative)…

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Q: What is the derivative of y = tan-1(x2 + 1)? dy dr 2 1+( z²+1)² dy dr /1+(z²+1)² dy O dr V1+(2+1 )°…

A: To find derivative of y=tan-1x2+1

Q: Calculate the derivative using implicit differentiation: x³w + w® + wz² + 4yz = 0 dz az

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Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function

Q: The temperature in degrees centigrade (°C) at each point (x, y) on a curve 2x + y = 3 is given by…

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Q: find derivative 1. y = 1/( ln 3x)      2. y = ln (t3/2) + sqrt(t)    3. y = ln (sin x)      4. y =…

A: Hi! Your question contains many sub-parts. As per norms we will be solving only 3 sub-parts. Since…

Q: Find the derivative of fuction Γ(z)=pinz+z^2   Γ'(z)=?

A: Here we have to find the derivative of τ(z)=πnz+z2

Q: Calculate the derivative using implicit differentiation: dw x®w+w² + wz² + 2yz = 0 dz' dw dz II

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Q: Compute central difference approximations for the first derivative of the function, y =[ elnx)2 , at…

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Q: The population of a city is associated by the function P(x,y,z)=x² + 2y² + 2z². If the population of…

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Q: Find the derivative of the function. f(x) = In(sinh(x)) %3D f '(x) = %3D

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Q: Calculate the derivative of y with respect to x when sin(x + y) = 5x + 3 cos(y).

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Q: Calculate the derivative using implicit differentiation: dw x'w + w° + wz² + 3yz = 0 dz' dw dz II

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Q: calculate derivative of respect to x こ %3D dx

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Q: f(x)= sinx/cos x+1

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Q: Find the directional derivative of f(x, y) = ln(sqrt(x^2+y^2))  at (x, y) does not equal (0, 0)…

A: Since we have to find directional derivative of function f(x,y)  at (x,y)  toward the origin-…

Q: TR (Q) = 18Q - 0.5Q? C (Y) = 1500 + 0.75Y AC(Q) = 46 %3D 1.5Q + 4 +

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Q: What is the derivative of y = (sin (3x?)2? dy dr 12z sin' (3교2) VI-974 dy dr 12z sin (3z²) VI-9z4 dy…

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Q: -2 In(x) Consider the function f(x, y) = 3y

A: We have to find the derivative of the function f(x,y) in the direction u=-5,2.…

Q: y = cos /sin(tan Tx) %3D

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Q: Find the derivative of the function f (x, y, z) = * ++ at the point (-8, 8,-8) in the direction in…

A: Given thta  f(x,y,z)=x/y+y/z+z/x  To find teh derivative of the function at point p in the direction…

Q: 2- Find the derivative of y with respect to the Exercises 1-3. y = 6sinh ; 1- = - sinh (2x + 1) y =…

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.