Find the derivative of y with respect to x. 8x y = tan 3 - 24 O A. 64x2 + 9 O B. 64x2 + 9 24 Oc. 64x2 + 9 O D. /9 – 64x²

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: Find the derivative of y with respect to x. y = tan (In 3x) O A. 1+(In 3x) 21 O B. x(1 + ( In 3x)) 1…

A: Given: The function y=tan-1ln3x, To determine: The derivative of y with respect to x,

Q: Find the first derivative of the following functions with respect to x: a) y= Inx3 b) y = ln (÷) c)…

A: We can make it easier for you.

Q: Find the derivative of ywith respect to x in the following functions: 18x y (ans.: (3x-2 a) y= and…

A: Derivative of uv uv' = u'v-v'uv2

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: 2. Find the derivative of the following functions. (a). g(x) = cos (2x + 1) (b)," f(x) = In (x² – 4)…

A: To find the derivative of the functions

Q: Evaluate the derivative of the following function at the given point. xy? + 5x? – 2y? – 16 = 0, (-…

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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: Find the derivative of y with respect to x. y = In 6x? 12 O A. 2x В. x + 6 Oc. OD. 2x +6

A: The given function is- y=ln6x2 Differentiating y w.r.t. x- dydx=16x2×d6x2dx

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

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Q: Find the derivative of y with respect to the independent variable. 6- e y=t O A. (6- ers-e O B. (5-…

A: The derivative of xn is given as,ddx(xn)=nxn-1

Q: 2: Find the derivatives of the following function with respect to x. i) x = sin h' y

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Q: Find the derivative of the irrational function y=m√xn where m≠0

A: we have to find the derivative of the irrational function y=mxn

Q: Find the derivative of y with respect to x in the following equation y = 1¹ where u = 1-z O x² O-x²…

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Q: 3. y= Vx*e*

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

Q: Find the fourth order of derivatives of the following functions y=ln x y= X^1/2

A: The objective is to find the fourth order derivative of rhe given functions.

Q: Find the derivative of the function. h'(t) = h(t) 2 sinh(−4t)

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Q: Find the derivative of y with respect to the independent variable. y = 10cos T) -.... A. - 10coS TO…

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Q: 3 S (x) = Se²* + +2x 2-1 +12 csc(x)cot (x)+3 b)

A: Explanation is given below.....

Q: Given that h(x) = xi + what is the anti-derivative of h(x)? (Do not include the constant C'in your…

A: Anti-derivative

Q: Find the derivative of the given functions. 1. D;(x²cos 2x) 1 1 2. y =x + 7sin 2x 3. f(x) = sin?(5x…

A: We have to find

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y 2xe X- 2e X O 2xeX O 2xeX +…

A: Finding the derivative

Q: I. Find the derivative of the following. Show that the applicable differentiat rules has been used.…

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Q: 2. In each case, find the derivative d (a) z = x* + y and r(t) = In (t) and y(t) = e24, (b) z = 5xy…

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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: 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: Find the derivative of y with respect to the independent variable. y = (In 20)" Select one: A. T(ln…

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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 derivative of y with respect to x in the following functions: y= Ju +2u and u x2-3

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Q: Find the derivative of y with respect to x in the following function at (1, 1/3) u? y = u' +1 and u…

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Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A:

Q: Find the derivative of the following functions without skipping steps w = tan (y) + cos (3z) -…

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Q: Use the derivatives table to help you find the derivative of the following function. Given y = In(8x…

A: Given that, y=ln(8x3). Obtain the derivative of the given function.…

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

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: Find the derivative of the given functions. 1. D,(x²cos 2x) 1 1 2. y=x+zsin 2x 3. f(x)= sin?(5x + 4)

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Q: Find dy for the given values of x and Ax. 3 y =x° - 6x +8; x = 1; Ax = - 0.1 - 6x + 8; x = 1; Ax = -…

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Q: I. Find the derivative of y with respect to x. Use the given relation in its implicit form. d?u 3.…

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Q: Which of the following functions has a derivative at x = 0? I. y = Vx² – 1 II. y = x|x| III. y = Vxª…

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Q: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

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Q: Find the derivative of y with respect to x of y = 9ln du If y = c In u, identify u from the given…

A: To find : The derivative of the given function .

Q: Find the derivative of the function g(t) = cos(6t) – 4 sec(t). - g'(t) =

A: Differentiation of Cos(ax) is -aSin(ax). Differentiation of Sec(x) is Sec(x)Tan(x).

Q: The derivative of y with respect to given a = 1 is Onone of the choices O y = yx³-1 O V = 0 = = 9 *…

A: I have stated the used formula in the solution

Q: Find the derivative of y with respect to x. y = tan(In 4x) O A. x/1+ ( In 4x)2 1 О в. 1+ ( In 4x)2 4…

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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 the derivative of y with respect to z. y=2 (29)

A: Given : y = 2z9

Q: Get the first order derivative of the function x? – 3x5y* + 2x = 5. y 2xy-15x*y*+6x² 5-x²+15x=y* a.…

A:

Q: 3 dK Use the definition of the derivative to find for the function K(z) %3D dz 6z + 1"

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: