Find the indicated derivative of the function. ddy of y 6x5- 4x2 - 4x + 1 1) dx4 Solve the problem. 2) If s is a distance given by s(t) = t2 + 4t + 10 find the acceleration, a(t).

Q: Find the derivative dydx for the function x=1t+t, y=1t2 at the point t=12.

A: Here given

Q: How do I find the derivative for this problem?  Am I on the right path?

A: The given function is

Q: dx y=u(1+u°)³ and u =(3x-2)². %3D Express the derivative in terms of x, if

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Q: f(x)=x2+2  at (1,2)   Find the equation of the tangent line using delta method

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Q: 4. [ ]Find the derivative of y with respect to the given independent variable: Ins 7x (a) ex³y = 2x…

A: Given equation ex2y=2x+2y   As per our guideline, we  supposed to answer only the first three…

Q: Find the derivative of the given function. y = In (- 25x² + 3x) y' =D %3D (Турe an exact answer.)

A: Solving by derivative rule

Q: What is the derivative of y = V(x? V(a2 – 1) (x + 1) ? -

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³–2x)* 1. у- ; d'y/dx? 2. Y = (5x³ + 2)6…

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Q: Find the third derivative of ƒ (z) = ¥9z +I. f" (2) =

A: Answer is mentioned below

Q: 10. Find the derivative of y = V3x + 2. c) d) 3x a) 2V3x+2

A: Using derivatives

Q: 3. Find (a) the derivative , y dy 4 -32x %3D (b) find the slope of the line tangent at x=4 (c) find…

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Q: Find the derivative of the given function. y= 2x- 13x +35x +5 dy 口 dx %3D

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 16) y = (x2 - 2x + 1) eX B) (x2…

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Q: 12. Find derivative of the following composite function using the Chain Rule: 2y t(y) = 6y² + 1+y?…

A: We have to find derivative

Q: cosh r – 1 · (xª4 + 2) +2). Compute the derivative of y = In | (2x + 1)

A: Given problem:-

Q: B. Find the indicated derivative. (15 pts) -4 y =;y(3) 2. x2 – 4y2 = 5; y" x2 -

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Q: 5. (y/)² – 2yy' = y² (e* – 1) %3D

A: This is a differential equation of order 1 and degree 2. We usually solve the differential equation…

Q: Find the derivative of y given that coth-1 (21x³) y = 63x2 A 1–441x6 63x2 B 1–441x6 63x2 1+441x6…

A: Given y=coth-121x3

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x2-3x)3 1. y= ;d'y/dx 2. Y = (7x + 2)S ;y"…

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given functions are: y=a2-t2x=42t2+a In order to calculate d2ydx2, firstly we will calculate d2ydt2…

Q: 20. Find the derivative of the function. y = 9cos(2x) a. y'=-18sin(2x) b. y' =18sin(2x) c.…

A: Option (a) is the correct option. Differentiate y using the chain rule.…

Q: 7)y= 2e* +2x -2.x

A: we have to find the first derivative of y

Q: Find the derivative of y with respect to x. 8x y = tan 3 - 24 O A. 64x2 + 9 O B. 64x2 + 9 24 Oc.…

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Q: Find the derivative of y with respect to x. 6х + 11 y = - csc 7 O A. 42 |6x + 11|V(6x + 11)2 – 49 O…

A: ddx(cosec-1x)=-1xx2-1

Q: 2. Find the derivative (dy/dx) of the following functions: h) y = 3x7 – 7x³ + 21x² - i) y = (x² +…

A: As per guideline we have to solve first three subparts

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2 1. Z= 1+x? ; d²z/dx? 2. Y = (3x + 2)* ;y"…

A: Given function is: y=3x3+24 We have to calculate d2ydx2 or y''. Now we see,…

Q: 2. If y = x +3x-2x+1, find the values of the following e. derivative, i. У"(2) d'y ii. dx ii. y" (2)

A: Please refer to the image below

Q: 5 dy 3x4 – 4T + x2 Find the derivative dx, y

A: We have given the equation; We shall use the formula of derivatives that is;

Q: I. Find the derivative of the following. Show that the applicable differentiat rules has been used.…

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Q: Find the indicated derivative. dy for y = dx 1 – 2x2 x4 – 2x² + 4 %3D

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Q: B. Find the indicated derivative. -4 1. у: 2. x2 – 4y2 = 5; y" iy(3)

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Q: Consider the equation x² + y² + 4xy – 2y = 1. Then y can be viewed as an implicitly defined function…

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Q: Which among the choices has the first derivative that is equivalent to (2x + 1)(x + 2) ? Of (2)…

A: Solution:-  Step:1    Given:  f'x=2x+1 x+2

Q: Find the indicated derivative.dp/dqfor p =q2 + 2/4q-2

A: Given a function in p in terms of q as shown below. We need to compute dp/dq.Here we use (u/v) rule…

Q: FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 1. Z=- ; d²z/dx? 1+x2 2. Y= (3x³ + 2)ª ;y" 3.…

A: z=2(1+x2) Differentiate with respect to x, dzdx=ddx2(1+x2)-1      =2(-1)(1+x2)-1-1(2x)…

Q: With respect to u, what is the derivative of: * 12 בV 2 2 dx Option1 Option3 -'/2 -15

A: Answer is mentioned below -

Q: Find the derivative of the function at the given point in the direction of A. f(x.y) = 6x+10y,…

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Q: The derivative of the function y = cos -1 = COS Va at 1 is equal to 4 :Select one -2 .a V3 .b V3 .C…

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

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Q: Find the indicated derivative. dt for y(2.4t-3t)(2t+1.1)

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Q: Q2: A) Find an equation of the line tangent to the function of x2 + (y- x)² = 9 at x = 1. dy if y =…

A: Derivative of function

Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: Find the first derivative in the form of dy/dx  y= 2e^-2x + 2x^e^2

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Q: find the derivative of the function at P0 in thedirection of v. ƒ(x, y) = 2x2 + y2, P0(-1, 1), v =…

A: Given: fx,y=2x2+y2  We know that, The direction of v is the unit vector obtained by dividing v by…

Q: Determine the derivative of y=tan(cos-'(4x)) -1 A y'= 4x2/1- 16x2 - 4x B y'= V1- 16x2 c) None of the…

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Q: 2. In each case, find the derivative d. (a) z = x³ – y² and x(t) = cos 2t and y(t) = e-3t, (b) z =…

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Q: 18. Up to what derivative is the derivative of y = x6 + 2x5 - 4x4 + 7x³ becomes 0.? a. yv b. yu c.…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.