9. Calculate the derivatives of the following functions. DO NOT simplify the answers! a) y = x° + 7° + e®m 2x) + 7* + log, (5x² +9x) b) y = xc0sx

Q: 2. Calculate the derivative of the following y= (*- 3 + Sx) B. Ytan (x+ Se-2) (4x + 3) Tx-2) A. C.…

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Q: 4. [ ]Find the derivative of y with respect to the given independent variable: Ins 7x (a) ex³y = 2x…

A: Given equation ex2y=2x+2y   As per our guideline, we  supposed to answer only the first three…

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: 4. Compute the derivative, r'(t), of r(t) = (2t°, v2t, 2 –t=2).

A: As per our guidelines we can solve only one question at a time. Please repost unsolved question…

Q: Find the derivative of the function #1) F(x) = In(2x+3)· (4x +7) tan(x) t +4 dt t2 +2 # 2) h(x)= |

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Q: Given that the first derivative of x^81+y^81=-36 is given by dy/dx=kx^c/y^c,what is the value of k?

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Q: (4) 3. Use implicit differentiation to find dy/dx of the following: x² - 5xy + y³ = 21

A: As per policy only first question is answered. Please refer to the image below

Q: Find the derivatives of the functions in Exercise

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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 values of the derivatives ds/dt at t=0 if s = 2/(4 - t)

A: Given function is Differentiating with respect to t, we get

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

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Q: 20. Find the derivative of the function. y = 9cos(2x) a. y'=-18sin(2x) b. y' =18sin(2x) c.…

A: Option (a) is the correct option. Differentiate y using the chain rule.…

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. 8x y = tan 3 - 24 O A. 64x2 + 9 O B. 64x2 + 9 24 Oc.…

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Q: Evaluate the derivative of a mq4.5.png cos (bvx ³) f(x) = a ln sin(cx²) if a = 107, b = 0.5, and c =…

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Q: In (xv/x² + 7). n (xVx2 %3D · Find the derivative of the function y = In

A: To find the derivative of the Given function, we have to apply chain rule and product rule.

Q: Find the derivatives of the functions y = sin-1√1 - u2, 0 < u < 1

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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: (e) Use a backward finite difference approximation to approximate the first derivative of the…

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Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: Q2 find the derivative of the following: 1) y = 2stn (5x) ,2) y = In xn cosh 5x ,3) xsin-14y = y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Fin the second derivative of the fo!lowing functio 1. y = (x²+x+1)? 2. y = x (2x+1)' 3. y = V2a

A: (1) Consider the provided function, y=x2+x+12 Find the second derivative of the above function. Now,…

Q: What is the derivative y^2 = 64 with respect to t? O 2x dx/dt + 2y dy/dt = 0 O 2x dx/dt + 2y dy/dt =…

A: Given that,  x2+y2=64

Q: 1-Find the first derivative of the following function f( x) 5 cos (10x) + x' – 2x – 6x+ 10 For x=2…

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Q: Q4: Find the second derivative of f(x) = %3D (cos^2) 7x: *

A: The given function is;  f(x)=cos2(7x) We have to find: f''(x)

Q: Compute the derivatives of the given functions. f(2) = In (7z²). 7a?). f'(x): / (z) = help…

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Q: In (1 + 2), What is the derivative of y .? e2z %3D

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Q: If z = (x + y) e and x = 6t and y = 1 – t, find the following derivative using the chain rule. Enter…

A: In this question we have to find the differentiation of z with respect to t.

Q: find the derivative of y with respect to the givenindependent variable.

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Q: Evaluate the second derivative of mq4.5.png os (bVx³) f(x) = a ln sin(cx2) if a = 21, b = 0.5, and c…

A: Given that, f(x)=alncosbx3sincx2a=21, b=0.5, c=5Substituting the values of a, b and c, we…

Q: The derivative of the function y = tan(In(vx² – 6x + 1)) is: %3D

A: Formula:ddx(tan x) = sec2xddx(ln x) =1xddx(xn) =n xn-1

Q: 4. Show in two ways that the function f(z) = exp(z²2) is entire. What is its derivative? Ans. f'(z)…

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Q: Find derivatives of the functions defined as follows:

A: Given that : The function is y = tet + 2e2t +1 .

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

A: Find the derivative with respect to s.

Q: Calculate the derivatives of the following functions.(a) y= 4x2 + 4(b) y = sin 3x+ 4 cos 2x(c) y =3x…

A: We have to find derivative of the given function. (a). dydx=d4x2+4dx=8x   b.…

Q: Can you help me step by step?

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Q: Find Zxx=Zyy=Zxy=

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Q: If z = (x + y) e and x = 3t and y = 1 – t, find the following derivative using the chain rule. Enter…

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Q: is The third derivative of y = cos 3 1 sin 27 1 a) y" b) y" =- cos %3D %3D | - 3 27 3

A: The given differential equation is : y=cosx3   -1

Q: 5 Find 은 for y= |(*+2)°dt Choose the correct derivative below. O A. 원-40 (x*+2)기| 5 O B. - (* +2)*…

A: Given:y=∫0x t4+28 dt5

Q: 6. у3 In (x*+3х -1)2 V(5x+2) step1 step2

A: Derivative of function

Q: (e) Use a backward finite difference approximation to approximate the first derivative of the…

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Q: Find the third order derivative of y = In(cos(2x))5. %3D A. y' = -40sec² (2x)tan(2x) %3D В. у' 3…

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Q: Find the third order derivative of y = In(cos(2x)). A. y' = -40sec? (2x)tan(2x) B. y' = -80sec?…

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Q: In (3x) Find the derivative of y with respect to x if y = sin (7 e') dt. %3D dy dx

A: Given y=∫0ln3xsin7etdt.We need to find dydx

Q: 1. Find the derivative of the following by using the Theorem. a. y = In(3x3 – 6x +9) b. y = In[(2x –…

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Q: Зх +1 a) y =- 1 b) g(x)= Jx -

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Q: Find the derivative of y with respect to the independent variable. 20) y = 7cos TO A) -17COS TO In 7…

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Q: 7. Find the second derivative of the following function: y = e** +In(7e¯* + 5x³) – 5²× +-

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Q: st -xp- 4–lu 1 +x4 y =

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