dy 4. Given y=5-4x find dx Ix-2

Q: Find derivative of the following function. 5x -5x y%3D dy

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Q: The derivative of z at z e is equal tol. Select one: O a. False b. True

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

A:

Q: Find the directional derivative of the following function at P(1, 0) in the direction that produces…

A: Given  fx,y = -3x2+4y3+2xe32y

Q: Use the Quotient Rule to compute the following: d t²+ dt \ t2 The derivative is:

A:

Q: Use the definition of the derivative to find r'(t). r(e) = Vi + i - 3k 3tk r'(t)

A: =>r(t)=f(t)i +g(t)j +h(t)k

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

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Q: Find the derivative of the following function. f(y) = eYy" d Yy" = 0

A: ddy(eyye)=ey(eye-1)+ye ey   [From chain rule]

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

A:

Q: Identify the function, whose derivative is defined below: dy (х + h)2 — х2 lim h→0 dx h А. f(x) — Һ.…

A: Given dydx=limh→0(x+h)2-x2hWe know that the limit derivative formula is f'(x)=limh→0f(x+h)-f(x)h

Q: Find the derivative of function defined as follows. p(z) = z(6z + 1)4/3

A: Given function is pz=z6z+143. To find the derivative of the function. Solution: Power rule of…

Q: Use the "First Principles/Limit" to find the derivative of the function S(t) = t2 – t, at t = -1/2

A: Given  S(t)=t2-t To find the derivative using first principle at t=1/2

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

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

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Q: Find the derivative of the function by the limit process. g(t) = t^3 + 5t

A: Using definition of derivatives,

Q: Use the Quotient Rule to find the derivative of the function. f(t)= cos(t)/t^2 f'(t)=_____

A:

Q: Evaluate the derivative at the given value of x. dy Vx, find dx If y = 3 OA. 16 11 OB. O B. 16 11…

A: Differentiate the function y with respect to x to find dydx.

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…

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: f(x)=(x+5)23  f'(x)=23(x+5)-13  f'(x)=23 (x+5)3Let's understand f'(x) as a different…

Q: Use the Quotient Rule to compute the following: t2 +1 d at t = 2 dt t2 The derivative is:

A:

Q: Let y = -. Find the values for A and B so that %3D A dy dx %3D xB where A = -1 %3D B = 2 The limit…

A: The equation is y=1x.

Q: The directional derivative of f(x, yat the point (a, b)in the positive y direction is fr(a, b) O…

A: Use the correct formula for the directional derivative.

Q: Find the derivative of the following function. f(y) = eYy %3D

A:

Q: Given that f(x) = 5x° + x³ + 2, find the derivative of f- by using dy che formula d.x 1 Check dx…

A: To find: The derivative of inverse of f(x)=5x5+x3+2 by the formula dydx=1dxdy. Calculation: Find the…

Q: Use the Quotient Rule to compute the following: d ( t2 +1 at t = -4 %3D dt \ t2 – 1 The derivative…

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Q: Find the value of the derivative (If it exists) at the Indicated extremum. (If an answer does not…

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Q: Find the derivative of function defined as follows. s(t) = 12(2t4 + 5)3/2

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: Given fx=x+223

Q: dy By using the "definition of the derivative" find of y = V2x? dx

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Use the Quotient Rule to calculate the derivative for the function g(t) = +4 at t = 1.

A: Given : gt = t4+4t4-4

Q: Find the derivative of the following function. - 4 %D (7x x + 1) りの X. 口 dy %3D dx

A: Given:- y=-47x5+16 To Find:- dydx

Q: Find the derivative of the followi (a) x = t2 + 5t + 4, y = 4t

A:

Q: Use the quotient rule to find the derivative of the following. 2x +1 y%= * +7 dy %3D xp

A: We can find the derivative by quotient rule.

Q: Find the derivative of y with respect to x in the following function at (1, 1/3) u? y = u' +1 and u…

A:

Q: 二D f(x) Vx3 x3+6x²

A: Given fx=x3+6x2 Rewriting the equation: fx=x3+6x212

Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: Given- fx=xx2+49 To determine smaller x-value and larger x-value.

Q: Do as indicated. t1 is differentiable att = 1.

A:

Q: Consider the following equation f (x,y) = x²y. Find the derivative off in the direction of (1, 2) at…

A: Given fx,y=x2yNow , ∂f∂x=2xy and ∂f∂y=x2Now , partial derivative at point 3,2 is∂f∂x=232=12…

Q: Let f(x) = 8x +x – 7. Find the derivative of f by using the formula %3D and check your result by…

A:

Q: Use the Quotient Rule to find the derivative of the function.                                f(t) =…

A: the quotient rule of the derivative states dydt=v.dudt-u.dvdtv2 here v=t3,u=cost we will derivate it…

Q: In what direction is the derivative of f(x,y)= xy +y at P(4,9) equal Select the correct choice below…

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Q: Consider the following function: y = x*. dy dz ||

A: The given function is y=xx2. Rewrite the given function as follows. y=xx2y=elnxx2y=ex2 lnx

Q: Which among the choices has the derivative equal to (z+2)? O y = %3D 5 O y = Oy = %3D Z12 Oy= Z12

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Q: dy Find the derivative, for the following function. dx y = + 5x + 1

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Q: Find the derivative of the function by the limit process. h(s) = −2√s

A: h(s) = −2√s

Q: 3 dK Use the definition of the derivative to find for the function K(z) %3D dz 6z + 1"

A:

Q: Differentiate the following function:y=12M+Ee^t,where M and E are given constants.Enter the…

A: We have been given a function and we need to find its derivative. In this function, M and E are…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: