Write the composite function in the form fg(x). [Identify the inner function u g(x) and the outer function y = f{u).] Then find the derivative dy/dx y = evT

Q: Find the derivative of h(x) = | 14 arctan(t) dt. h'(x) = ||

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Q: If VT + Vy = 10 and the point (4, 64) is on the curve, find dy x=4 by implicit differentiation. dx…

A: Given that: x+y=10

Q: Find the value of the derivative y′(x) at x=0 for the function given by ey+xy=e.

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

A: Here given

Q: Find the derivative of the follo solutions. 1. What is (5x +3)4? dx 2. What is 4 (x2 – 3x)5? dx 3.…

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Q: Find the exact length of the curve. Y=(1/4)x2-1/2 ln(x), 1 less than or equal to X less than or…

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Q: Can you help me with this problem step by step?

A: Given equation is

Q: 3) Find the derivative Of S> Sin (xy) + e' v#5

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Q: the implicit derivative of     sin(y) − xy^3 = e^(−3x^2)

A: Givensiny−xy3=e−3x2

Q: Defermine the derivative of the following functions using the long method (using limits). 1. y =t –…

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Q: find the derivative (dy/dx) of the given function:  1. y= e^X sin X 2. y= (cos x)^9 3. 1/ ln(X)  4.…

A: Given,

Q: Can you help me with this problem step by step?

A: To determine the derivative of given function.

Q: Find the length of the curve y =x2/8 − ln(x) on the interval [1, 2].

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Q: The fifth-order partial derivative ∂5ƒ/∂x2∂y3 is zero for each of thefollowing functions. To show…

A: The given function is f(x, y)=y2-ysinx-x4.

Q: V3 8. arccos (x ++ y) + x² = 3 when x

A: we have to find out

Q: i) Find the derivative of g(x)= 4x2 ii) If y³+2y-4x=5 find dy/dx cosx

A: Given: (i) g(x)=cos(x)4x2(ii) y3+2y-4x=5

Q: Please identify the critical point,z, where the first derivative is equal to zero for the following…

A: Critical point

Q: find the values of the derivatives dy/dx at x=sqrt(3) if y = 1-1/x

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x'-5x)* 1. y= d'y/dx'

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Q: for (e3x+y2)5 = sin x cos y, find dy/dx. using implicit differentiation. must show all steps

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Q: 3. Find the derivative y'(x) implicitly. cos²x + cos²y = = cos (2x +2y)

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Q: sin (x+1) 5. Find dx g(x), given f (x) = 3x +In |- 5x and g(x)=: +Vx+5

A: Use derivative rules

Q: Evaluate the derivative of mq4.4.png cosh (bVx3 f(x) = a ln sinh(cx2) if a = 69, b = 0.6, and c = 6…

A: Given function: fx=alncoshbx3sinhcx2 To find: The derivative of the function f'(7) using…

Q: 2. Find y' by implicit differentiation. (5) xy =1+ xy

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Q: Let f(x, y) = y log (xy). Find: fu (æ, y) fyæ (x, y)

A: Please see the answer below

Q: 4 For the function y = 1 e - dy the second order derivative dx? is

A: Given that a function and find second derivative of this function (d2y/dx2). We know that d(xn)/dx =…

Q: d'y of y = 5 cos T dr

A: The given function is y=5cosx. Obtain the first derivative of y=5cosx: dydx=5dcosxdx=-5sinx Obtain…

Q: 1. Find the centered difference approximations of 0(h^4 ) for the first derivative of y=sin(x) +…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…

Q: Find the derivative. y = x tanh-(x) + In( V 1 - x²) y'(x) =

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Q: Find the derivative of the following functions using the long method.(general process) x=2y/y-1

A: Here I explained how to find dx/dy.

Q: To find the size of order that will produce a minimum cost, begin by finding the derivative of…

A: To find the value of x at which C has minimum value. C=3x+600,000x

Q: 11. Sds 3 ex+2 cos x-sin x 12. S -dx cos2 x

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Q: 6. y = In (e* + e") 7. y = tan e + etanax 8. y = In(x + Vř +1) 9 y = Arctan(;

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Q: y = e* arctan x y = arccsc (e*) ICCSC

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Q: 4. For the given derivative, find the antiderivative that satisfies the indicated condition. f '(x)…

A: We have to find the anti derivative of the function or we can say that we have to integrate the…

Q: The finite difference approximation of the first derivative in the simple implicit method used to…

A: given  ∂2u∂x2=∂u∂t to find the finite difference approximation of the first derivative in the…

Q: can you help me step by step with this problem?

A: Find the derivative with respect to s.

Q: Q3: find the derivative of the following: 1. y = lnx + √1-x² sech-¹x 2. y= sinh-1(tanx)

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Find the derivative of the given function. y3Dcos dy

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Q: If the first derivative of y is -3.8025 sin(0.507 t) on the interval {0 <= t <= 24}, what are the…

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Q: 2. : Consider the function ry + cos y + x 2+ xy. (a) Find the derivative, dy/dx. (b) Find the…

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Q: i. y = cosh(2x – 1) %3D 1 j. y = arccosh H| 8

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Q: (a) Find thẻ đéřivătivė. rivative. 1 y = In(x2 – 6) 3 dy dx (b) Find the derivative. 3 = INVX2 – 6…

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Q: Find dy/dx, using implicit differentiation. y In(x) + y = 6 dy dx Compare your answer with the…

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Q: 1. Find the derivative of the following functions (dy/dx) at x=0 y= sin 2x – 2sec x 2. Find the…

A: We are given: y=sin 2x - 2 sec x and y = sin4 4x - cos4 4x We need to find their derivatives at…

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Find the approximate value of derivative f'(0) with the step size h for the following function by…

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.