find all possible functions with the givenderivative. y' = √θ

Q: y = In(x + Jx² +1)

A: This question is based on differentiation.

Q: Find a formula for df 1 dx for the function below using the Derivative Rule for Inverses. f(x) = (5…

A: Given,         fx=5-3x3We know that,           The Derivative Rule for inverses is given by…

Q: Find the second derivative of the following function: y = e** + = ex², +In(7e¯* + 5x³) – 52x 3x V

A:

Q: b) Find the derivatives of the following functions: (i) 3x+4 y = tan x+5 (ii) y = e* -cos3x + x log.…

A: Derivatives

Q: Find for the following function. dx 6 cos x y = 6-5 cos x dx

A: To find the derivative of y.

Q: B) Findfor the Implicit function: dx x² - sin(xy) + y² = 5xy

A:

Q: Find the derivative of the following function. 7x e y= In 4x y =D

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Q: Find the function with derivative f′(x)=e^3x that passes through the point P=(0,8/3) f(x)=

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Q: Q5: Find for the following functions: dx (4) y = x sinh 2x-cosh 2x (3) y = e* sin² x In√x

A: See this solution in below

Q: Find differential of the function y= (r + 3)*

A: The given function is                                 y=x2+33

Q: Find f(x), the most general antiderivative of the function: f" (x) = 18x – 3 sin(x)

A: Explanation of the answer is as follows

Q: Find the indicated derivative dz/do for z= x^3+x^2/1-x-4x^2

A: We have to find derivative

Q: nd the derivative of the following function with respect to x. V5x + 8 V1– 9 cos (4x) Vx² + 10x h…

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Q: Find for the following function. dx 5 cos x y= 6-7 cos x dx

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Q: Evaluate the function: dx (x+1)–Vx+1

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Q: Find a formula for the nth derivative y^n of the function y=(x+5)^1/2

A:

Q: Find the derivative d/dx of the following x² +1 x + 1

A:

Q: Calculate the error of approximation with EA for the following functions Fix) = In 3x. when x = 4…

A: EA = 0.0030056

Q: Given e^x - x^2 + y^3 = xy, find dx / dy using implicit differentiation

A:

Q: 3. y= Vx*e*

A: y=x23exProduct rule f(x)* g(x)'=f'(x)g(x)+f(x)g'(x)

Q: B) Find for the Implicit function: dx x2 - sin(xy) + y² = 5xy

A:

Q: Given a function ƒ that is differentiable on its domain, write andexplain the relationship between…

A: The differentiable function is f on the interval I which contains a point a. The linear…

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: Find the antiderivative of f(x)=cos(3x)

A:

Q: FIND THE SECOND DERIVATIVE (y") OF THE FOLLOWING IN ITS SIMPLIFIED FORM (COMPLETE SOLUTION): 2 X = 2…

A: First, evaluate the first derivative dydx (y'). To find y', determine the dxdt and dydt.…

Q: Find The Domain of the Function. y = sin(log, x²]

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Q: Given the function y=(2x+1)3(x−1). Find all derivatives of the nth order from n=1 to n=5.

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Q: 2) Find the derivative of the function. T(r) = ar² + 2e" + n². %3D

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Q: Find the second differential of the function y=x2cos2x.

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Q: Find by implicit differentiation. dx 1. x3 – xy + y? = 7 2. x³y + y?x = -3 3. xy = x?y + 1

A:

Q: Compute the derivative d/dx of the following functions: f(x) = x cos^2(4x)

A: The given function is: fx=xcos24x   As we know that; The Product rule: f·g'=f'·g+f·g' The Chain…

Q: Find the differential of the function. u = 2x + 7 du = %3!

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Q: 6. v(y) = In (y² – 8y – 1)

A:

Q: 3. Given x?y? = x² + y², find by implicit differentiation. dx

A: To find: The value of dydx. Given: The equation is x2y2=x2+y2. Formula used: Product rule of…

Q: Find the differential of the function. T =V 9 + uvw

A: Given T = v9+uvw

Q: 4) /() =2-2 3. 5) y = x*+2x+1 6.) f(x) =

A:

Q: Find the first derivative of the following implicit function: X² + 3xy + y² = 4

A: Given : x2+3xy+y2=4 Lets take first derivative  Take derivative with respect to x. apply the power…

Q: Given the function y = x3 + 7x, find the differential dy.

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Q: 2 2 X = 1+t2 y=r(1+t?)

A: To find second derivative of given function.

Q: Find the particular antiderivative of the following derivative that satisfies the C'(x) = 5x2 – 6x;…

A:

Q: Find the first derivative of the following implicit function. x² + 3xy + y² = 4

A: Given : x2+3xy+y2 = 4

Q: find all possible functions with the givenderivative. y' = sin 2t + cost/2

A: we have to find all possible functions with the given derivative y'=sin2t+cost2. the given…

Q: Find the derivative of the function. V y= In 8v +5 dv

A: NOTE: Refresh your page if you can't see any equations. . take derivative apply chain rule  so…

Q: f(x) = e²x cos(x) e2

A:

Q: Find for the Implicit function: dx x² – sin(xy) + y² = 5xy

A:

Q: Find an antiderivative of the following function by trial and error. Check your answer by…

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Q: Find for the following function: dx 4- y = In2 5- tan-1 V4x - 5

A: Topic : differentiation

Q: Find all the higher derivatives of the function f(x) = (3x+7)°. TATER P'(x) = P'(x) =] p"(x)=

A:

Q: Find the length of the curve y = ln x from x = 1 to x = e.

A: Given:Find the length of the curve y = ln x from x = 1 to x = e.