What is the derivative of y = V(x? V(a2 – 1) (x + 1) ? -

Q: Find the indicated derivative of the function. 1) d'y of y - 6x5 - 4x2 - 4x + 1 dx4

A: According to bartleby guidelines I have to solve only one question.

Q: Find the second derivative of + e® sin y + 3xy = 0 y? %3|

A:

Q: Find the indicated derivative. dy dx 2x² 1- 2 xª – 2x² + 3 for y -

A:

Q: Find the derivative of the function.

A: Given, To evaluate derivative

Q: 2. Calculate the derivative of the following. B. Y= tan(x+ 5r-2) C. y=- (E +24) :(2-)

A:

Q: Find the derivative of y with respect to x if y = 4Vx(2x + 3). D. E - А. 6(2x+1) 3 B. C. 12V1 + 6 O…

A: Given: y=4x2x+3 ⇒y=8x32+12x12 Since, we know that ddxxn=nxn-1

Q: Evaluate the derivative of the given function for the given value of x. Y = 2x-3 / 4x+5   x = 1…

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Q: In what directions is the derivative of ƒ(x, y) = (x2 - y2 )/ (x2 + y2 ) at P(1, 1) equal to zero?

A: Given, , the unit vector is , here directional derivative is given as,

Q: find the derivative of the function y=-5(8x^2+7)^-6 dy/dx=___?

A: Given function is :  y = -5(8x2 + 7)-6

Q: What is the derivative of y e2x –1

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Q: What is the derivative of y cos e4- 2 7

A: Solution is given below:

Q: Find the derivative of * T (x) = Va + 9 Væ? 2.

A: Given T(x)=x+9x73-2x25…

Q: Find the derivative of the function. y=e 8x-5 In (8x-5) dy

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Q: What is the derivative of y + x + y² = x ? O y : 1- 3z2 3y2 + 2y 1+ 3x? 3y? + 2y O y = 1- 3x2 3y? +y…

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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: Find the derivative of y with respect to x if y = (13x - 26x+26) e -8x y =D %3D

A: Explanation of the answer is as follows

Q: 1. D, (x') 2. D, (5x) 3. D. (x-2x)

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Q: What is the second derivative of f (x) = e²?

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Q: Z = 1+x2 ; d'z/dx?

A: Given: Z = 21+x2 To find: The derivative, d2 Zdx2 in simplified form.

Q: What is the derivative of (6 x+1)5 (4 x-21)16 (21 x-23)3 (3 x+25)4 y = In with respect to x?…

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Q: In what direction is the derivative of ƒ(x, y) = xy + y2 at P(3, 2) equal to zero?

A: Consider the function and solve.

Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

Q: Find the derivative of y with respect to x. y = cos1 (5x2 + 4) 10x + (5x2 + 4)2 -10x Vi- (5x2 + 4)?…

A: The given function is  y= cos-1(5x2+4)  We have to find the derivative of this function w.r.t. x

Q: Find the derivative of y = arccos 4x with respect to x. - 4 4 а. b. 1-4х* V1-4x? - 4 - 4 с. d.…

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Q: find the most general anti derivative  f(x) = e^2

A: A function F(x) is called an antiderivative of f(x) if F’(x) = f(x).   The function f(x) is the…

Q: y=In(x dy -

A: Given : y = ln1xx-5

Q: B. By using the definition of the derivative, find the for: dx 1- f(x) = V %3D 2- f(x) = x -!

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Q: Find the derivative of y with respect to x if y = (12x - 24x + 24) e - 3x. y' =D %3D

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the derivative of the function. y=-6(8x+8)-6 dy/dx=

A:

Q: Obtain the derivative of the function y y = (e*1) (In(2cos(x² – 4x))

A: The given function is: y=e3x+1ln2cosx2-4x

Q: The value of the second derivative of y = f(x) at its point of inflection is A. 1 B. 0 C. -1 D. 2

A: An point of inflection, is a point on a curve where the curve crosses its tangent at that point.

Q: The derivative of the function y = tan(In(vx2 –- 6x + 1)) is: |

A:

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

Q: The derivative of the function y = x² In(x + 1) is:

A:

Q: What is the derivative of y e3a + 1 3e3 %3D (e + 1) 3e3z (e + 1) O y = 12e6 +3e3 %3D (ed + 1) O y =…

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Q: find the derivative of y=1/b²[a+bx-aln(a+bx) where a and b are constants

A: Derivative of function

Q: By using the "definition of the derivative" find 2 of y = v2x? dx

A:

Q: Find the derivative of y with respect to x. 1. x² + 4y² = 4ay

A: Given:   To find: Derivative of y w.r.t. x:

Q: find the second derivative of y = x In x A 1/x в) 1/2х D) 2x

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Q: Calculate the derivative of y with respect to x, if x³/2 + y¯3/2 =7. dy dx

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: To find the third derivative of  y=(4x+3)34⇒y=(4x+3)34 The general rule of differentiation is…

Q: What is the derivative of y = log b( cos² (ax)) ? Note that a and b are real numbers.

A: we have to find derivative

Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

Q: Find the derivative of f (a) = e" (x² + 2).

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Q: The total derivative of f(x,y )=3 x+ 3 y-41n y is

A: Given function is fx,y=3x3+3y2-4 ln y find the total derivative  dz=fxx,ydx+fyx,ydy

Q: What is the second derivative of * f(x) = e²?

A: We have to find second derivative of the function: fx=ex2 We know the formula of derivatives,…

Q: 1. F(x) = S, t³ - 5t dt

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Q: Find the derivative, or y', of ³ – Vy = ¿y² + 6 at (2,1).

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Q: Find the derivative of y with respect to x. 3. (x² + y²)² =ay²

A: The equation given to us is

Q: e2x %3D e2a + 1

A: