Consider the function f(x) = 3x° + 5æ – 2x + 4 Compute the derivative. f'(x) = %3D

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A:

Q: Find the derivative of y with respect to x, dy/dx of X=y^3/3+y

A: The given equation is x = y3/3 + y Differentiate on both side with respect to x d/dx(x) = d/dx (…

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A:

Q: Find the derivative of the function. Y=3xe-3x-ex^4   dy/dx=

A: given:

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A: Given:

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A: We will use Lebnitz rule to differentiate the function .

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A: Consider the given equation:

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A:

Q: Find the derivative of the function below. y = 5x sin- x + V 16 - x² dy dx II

A: here is the important formulae which is  used to the given problem: 1) d(xn)dx=nxn-12) d…

Q: Find the derivative dy / dx by implicit differentiation.  xy + 3x + 2y = x 2 y 2.

A: Here we want to find the derivative dy/DX by implicit differenciation because in this case it is…

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A:

Q: Find the derivative of the y with respect to x. Y=on (13x)+x dy/dx

A: Given  Y=13x+xdydx To find derivative of y with respect to x

Q: Find the derivative of the function. y = 2e Vx %3D

A: Given y=2e√x

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A:

Q: Find the derivative of y with respect to x if y = (7x - 14x+ 14) eX. %3D dx

A:

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x3 + y = 6xy…

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Q: Find the derivative of y with respect to s. y= sec 1(7s° + 4)

A:

Q: Find the derivative of y = 8x® + 5ª + 21. dy dx ||

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Q: Find the derivative of y with respect to 1. y = In V4x2 + 7x %3D 2. y = sec?(e-4*)

A: A detailed solution is given below.

Q: Calculate the derivative of y with respect to x, if x/2 +y 3/2 = 7. dy dx

A:

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: Find the derivative of y with respect to x. y = (6x + 5)* dy dx II

A:

Q: Find the derivative a) y = x sinh-(x) – Vx² + 1 b) y = cosh-(2Vx +1)

A: The derivative is calculated as:

Q: Find the derivative of the function y = 4x + In(x + 4). dy dx

A:

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

A: Given that: y=sec-1(3x2+1), x>0

Q: Compute the derivatives. Use the fact that e2+x = e2 . ex to find d/dx (ex+2).

A: ddxex+2

Q: Find the derivative of the function. 1 6 y = 4x +8x dy %3D dx

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

A:

Q: Find the derivative of the function.

A: Given: y=ln(x4)(1,0)

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A:

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A:

Q: Find the indicated derivative using implicit differentiation. x²y – y2 = 5; dy dx dy dx

A: The given function is: x2y-y2=5

Q: Find the derivative of y with respect to x. y = 6x° sin -1 (6x) + /1- 36x° dy dx II

A: Given function is By using product rule of differentiation, we get

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Q: Find the derivative of y=√x(x+9)   dy/dx=

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Q: Find the derivative of the given function. t q= tan Vi+2 dq dt

A: The following formulas of differentiation can be used to solve the given derivative. i d dttan…

Q: y = x+1 y = sin v1+x?

A: Please go through the attached solution. I hope that this solution will help you. Thankyou . Best…

Q: Find the derivative of F(x)

A: To Determine: find the derivative of F(x) Given: we have Fx=∫2x3costdt Explanation: we have a…

Q: Find the derivative of the function y = (4x + 5)°(5x + 1)~ª. dy dx II

A: For the solution of the problem follow the next step.

Q: Find the derivative of y with respect to x.

A: Given:The function

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

A: Please see the white board. Let's differentiate both sides with resepct to x.Recall that:d(cosx)/dx…

Q: Find the derivative dy/dx by implicit differenciation.  x2 + y2  = 100

A: Differentiate both side with respect to x and use the formula for differentiation formula for x^2…

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

A: Note:- Answer is given in the picture

Q: Find the derivative of F(x) = n sin(t) dt. 3x2 d dx cos(x)

A:

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

A:

Q: Find the derivative of y with respect to s. y3Dsec -1 (7s° + 5) dy ds

A:

Q: Find the derivative of y with respect to x.   Y=lnx /3+2ln x   dy/dx=___________

A:

Q: Find the derivative of y with respect to x if y = (10x- 20x + 20) ex. %3D dy dx

A: We can make it easier for you

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

A:

Q: Find the derivative of the function f(z) = 3z² +7z at I = a.

A: Given,            f(x) =3x2 + 7x  and x=a