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 used to find the derivative is

Q: Find the indicated derivative using implicit differentiation. dx (xy)? + y² = 4; dy dy

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Q: Calculate the derivative of the following function. y = 11+ tan²x dy %3D dx

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Q: Find the derivative. dy if y(x) = x + 2 dx

A: Given yx = x2+2 We have to find dydx

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

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Q: Find the Derivative of the given function. If f(t) = tan '(In(t")) . then f'(t) If g(t) = In(tan…

A: To find the derivative of the given functions we need to use chain rule of differentiation.…

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: 1. Use the definitio

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find the derivative of y with respect to x. y = In (x) dy 8. dx %3D

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Q: Show that the function f(z) = e* – y?(cos(2xy) + isin(2xy)) is entire and find its derivative

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Q: Find the derivative of y with respect to x. y = 9 In (6 In x) dy %3D dx

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Q: Find the derivative of f(2) (sin z-cos z). =CON D(A) Se)- O(D) )

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Q: Find the derivative of the function y = 7 tan(4x). dy %3D dx II

A: Given: y=7tan-14x   As we know that; The chain rule; fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And…

Q: Calculate the derivative of the following function. y = cos *0 - sin °e dy de II

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Q: Excrcise 2. dy Find the derivative dr where y satisfies the equation Y = In /x2 + y² arctan

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Q: Find the derivative of the following function. sin x+ cosX y% = et dy dx %3D

A: *to find:- dy/dx.

Q: Use the definition if the derivative to find dy/dx for the function y=1+×/3x

A: To determine the derivative of given function by using the definition.

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

A: Given : y = xcos-1x+1-2x

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

A: Topic-Differentiation

Q: Use the Chain Rule to find the derivative of w = r2 + ywith respect to talong the path I = cost +…

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Q: Find the derivative of the function y%39 tan(3x). dy %3D dx

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Q: Find the derivative dy/dx of the cardioid given by the equation r=f(θ)=a(1+cosθ).

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Q: Determine the derivative dy/dx for the following equation. Sec (x+y^2)+tan(x^2+4yx)=cos(y)

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Q: y = √√x S 0 10 5t cos (¹0) de dt

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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: find the values of the derivatives dw/dz at z=4  if w=z+sqrt(z)

A: Write w using an exponent Then use the power rule to find the derivative of w with respect to z.

Q: Evaluate the derivative at the given value of x. 4) If y = 'y =- Vx, find dy dx 4

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Q: Find the derivative of y with respect to x. y = sec 1(3x? + 1), x>0 dy dx II

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Q: Find the derivative of y with respect to x in the following functions: y= Vu +2u and u=x²-3

A: Derivative of  function signifies the rate of change of a function.

Q: Find the derivative dydx of the function x=arctanet, y=1+e2t at t=0.

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Q: Find the derivative of y with respect to s. y = sec 1 (5s° + 2) dy ds

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Q: Use the definition of a derivative to find f'(0) where: f(z) = sin (+) z#0 If the derivative does…

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Q: Find the particular anti derivative that satisfies the following conditions: dy/dx=3x+5/sqrt3 of x;…

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Q: dy Find dx if y = v5 – x2 , by using definition formula of derivative (ll ips pläiul).

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Q: Find the derivative (dy/dx) of the following functions: I) y = (sin x + cos x) sec x

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: Find the derivative. sint 1 du 1-u? dt cost OA. 1- sin? t 1 OB. OB. 1- sin?t 1 Oc. cost (1- sin 2 t)…

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Q: Find the derivative. dy if y(x) = /x2 +. dx

A: The derivative of the function f(x)=xn is f’(x)=nxn-1.

Q: Find the derivative of the following function. y= In (x +8)* dy dx (Type an exact answer, using x as…

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Q: Find the derivative of y with respect to x of y = 9ln du If y = c In u, identify u from the given…

A: To find : The derivative of the given function .

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: Y= tan ot

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Q: Find the derivative of y with respect to x. y = (9x + 7)* dy dx

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Q: Find the derivative of V=(4/3)πr^2b. Assume that b is a constant. dV/dr

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Q: Find the derivative of the following function. y = 5x sin -1x dy dx

A: We can find dy/dx using product formula as below

Q: Find the derivative of the following function. y=5.3-2 dy dx

A: We can find the derivative of the given function as below

Q: Can i get help step by step with this problem?

A: Recall the following facts.

Q: Consider the curve x = ey. Use implicit differentiation to verifythat

A: Given: x=ey ;Take log on both sideswe get,  log x=log…

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: