23. Find the derivative of the function. f(x) = 6sin?(-5x8) %3D f'(x) = %3D

Q: B) Using the definition of derivative, find -if y = dx 1-x

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Q: 3) Find the second derivative of y with reference to x. xcosy = y

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Q: Find the derivative of the function. y = 3x e -X - 3 ex3 dy dx

A:

Q: Can you help me step by step?

A: Given function is

Q: Please I want solution of question 7 with step by step. Many Thanks

A:

Q: 4. Determine the derivative of the function with respect to x. 8sin?(x² + 2) y = 4tan²(x² + 2)

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Q: Find the derivative of the function. (x) = e+2 + 3 f'(x) : II

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Q: Calculate the second and the third derivative of y =ar y" -(8/(pix^5)) -(48/(nix^7))

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Q: 5. Find the third derivative of the function : 3 (ans. : - 8y y=Vx

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: 30. Find the derivative of the function: y= xe™*

A: The given function is, y=x e-x The derivative of the product of the function u and v is given by:…

Q: Find the derivative of the function

A: The derivative of any function y=f(x),containing the variable x is defined as the rate with which…

Q: Find the derivative of the function y = coth−1 (e2x)

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Q: 10. Determine the derivative of the function with respect to x. y = sin?(x)

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Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: What is the derivative of y = e2 +1, with respect to x?

A: Formula used

Q: what is the second derivative of y(t)=e^-2t and y(t)=e^-3t

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Q: b)Find the derivative of the function x cos (2x + 3y) = y sin x

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Q: Find the nth derivative of the function y=ln(ax+b).

A: Given function is Differentiating with respect to x repeatedly, we get In general,

Q: Consider the derivative function h (x) = 5x³ + 3x² – 4x + 4. What is the general antiderivative of…

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Q: Find the derivative of the function. 7x 7x flu) du J3x 0 fu) 3x d du g(x) Hint: fu) 3x u5 g'(x)

A: To determine the derivative of the function.

Q: 4. Find the second derivative of Y with respect to x for 4x² + 8y² = 36

A:

Q: Find the derivative of the function. Y= q56* In(2)ln(5)ln(6)· 3*. 5".; 2:56*+1+x

A: Given problem:-

Q: 2. Find the derivative of (x + 1) /x. 3. Given the equation: y = (eln )?, find y'.

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Q: What is the Derivative of the following function; y = e-xsinh x

A: Our Aim is to find the derivative of y=e-x sinh(x)-(i)

Q: Find the derivative of the function. y = tanh-(6x) V6 1+ 6x y' =

A: derivative of the function..

Q: nd the derivative of the function y = arctan x + 1+x2

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Q: 8) f(x)= T+x²

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Q: B) Find derivative of the following function d dx 6tanz

A: A detailed solution is given below.

Q: g. y = x e 2x h. y = 4sin 2x

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Q: 2. If f (x) = xV x + 3, find the derivative of this function and the slope of the tangent line at…

A: Product rule of differentiation: (fg)'=fg'+gf' The slope of a tangent line at (a,b) is given by:…

Q: 2. Find derivative of given function defined as follows 2x y = e = ²

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Q: Find the derivative of y with respect to x for y = sinh - 1 ' (11/9x).

A: From the given problem:   y=sinh-1119x...(1)   Now simply write as: 119x=11· 3x=33x   Substitute…

Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also…

Q: 15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

A: topic - derivatives

Q: 8. Find the derivative of the function (t)= 3sin(arccost)

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Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: 3. Find the derivative of the following function. 8(x) = cos"(vx)

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Q: Find the derivative of the function

A: Given,

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

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

Q: c. Find second derivative implicitly for y + 2Re *y = 3R.

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Q: Determine the derivative of the function (x) = %3D 3+e3*

A: Authoring guidelines:…

Q: 4. The derivative of the function f(x) = r +3) is

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Q: 10. Find the derivative of y with respect to x. y=(x^(6)lnx)^(4)

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Q: Find the derivative of the function.

A: Here given function  y=ex-1ex+1

Q: Find the derivative of the function. 3 6. y3= 2 +/3 dy dx

A: The given function is y=9x3-2x2+3x+3.

Q: Can i get help step by step please

A: We have to use the power rule because of exponent -1 and then use the chain rule for (cscx-cotx).

Q: y=x4Inx

A: Topic = Derivative