Find the derivative of y given that coth-1 (21x³) y = 63x2 A 1–441x6 63x2 B 1–441x6 63x2 1+441x6 63х2 1+441x6

Q: Find the indicated derivative. Find y(4) if y' = V4x – 10. y(4) = %3D

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Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

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Q: Find the value of the derivative of (z – 4i)8 at z = 3 + 4i |

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Q: Find the first derivative of the function y = 2ArcsinV(x/2) %3D

A: Consider the given function, y=2Arcsinx2 It also can be written as, y=2Arcsinx2=2sin-1x2

Q: Find the derivative of f(z) = e2" (3z2- z)

A: Given, f(x)=e2x(3x2-x) Here, when we try to find the derivative of f(x), both chain rule and…

Q: z (y/)° = y

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Q: Find the derivative of h(t) = 15€ + - VE + 6 %3D

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Q: Calculate the derivative with respect to x of the other variable appearing in the equation.…

A: Given, xy2+x2y5-x3=3

Q: Y = V(2x + 1)2 yiv %3D

A: Here given as y=2x+123 Differentiate with respect to x…

Q: Find the derivative of the function. f(x) = 4 3 VX + 2cos x

A: Here, the given function is: f(x)=4x3+2cos x

Q: Determine the derivative of the following functions. 1. у 3 (8ӕ — 1) sinh(8a — 1) 2. y = (5)…

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Q: Find the derivative of y with respect to the appropriate variable 53. у %3D sec (2s + 1) 55. y =…

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Q: Find the derivative of the function. y = −6 sin 3x4

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Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

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

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Q: Find the derivative of each function using implicit differentiation. 10. 3y4 + 7x = x² +y¯3 11. 2x³y…

A: The student has specifically asked for the solution to question(10) only. Hence that question is…

Q: Find the derivative of the function. y3 (4x* - 7x +7)* dy dx (Type an expression using x as the…

A: It is given that y=4x4-7x2+74.

Q: ind the derivative of the y= ((2x) +3)

A: To find the derivative of, y=2x+3

Q: compute the derivative

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Q: find the derivative of y with respect to the appropriate variable 19. y = (sech u)(1 - ln sech u)…

A: Hello! Thank you for your question. We’ll answer the first question since the exact one wasn’t…

Q: Find the derivative of the function y =2cosx – 3sin x +1

A: Given, y=2cosx-3sinx+1

Q: 2. For y = 6x*V4 + x, find y(2).

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Q: Find the second derivative of y by implicit differentiation from the equation * 4x² + 8y² = 36 64x²…

A: Given that 4x^2+8y^2=36 To determine the second order differential eqaution

Q: Calculate up to 2nd derivative the equation g(x) = -8sin (*+1) %3D

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Q: Obtain the derivative of the function y (3 sen(4x))° ( tgʻ(2x)) y = (sec(2x))* – 1

A: This question is based on Trignometric application and diffrentiation of function.

Q: Find the fourth derivative of ƒ (z) = 4z" f(4) (z) =

A: We can make it easier for you

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 with respect to the appropriate variable.13. y = 6 sinh x/3 14. y = 1/2…

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Q: Find the derivative of the functron. Simplify and express the answer anly. using positive expenents…

A: In this question the given function is y=(x2-5)3x2+3 we have to find y' In positive exponents only

Q: Find the derivative and simplify exy -x² = 4Y² %3D

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Q: Find the derivative, but ansuer do not simplitty your Y=(x=+X+7)(Vx-2VX+3)

A: Given, y=x2+x+7x3-2x+3 By using f·g'=f'g+fg' Here f=x2+x+7,  g=x3-2x+3 ⇒ddxx2+x+7…

Q: find the derivative of y with respect to the appropriate variable.27. y = (1 - u)tanh-1 u 28. y =…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of f(z) = 3+ 2x² – 2y² + i4xy .

A: We find out the derivative of given function .we differentiate both sides with respect to z and take…

Q: ) Find the derivative of y = [7 cos5(5x – 8)(cos³V2x – 1)] %3D

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Q: Find the local extrema of following equation with the second derivative test. y = 3x³ + 2 x³

A: Given: y=3x3+15x5 To Find: The local extrema of the given function using second derivative test.

Q: Calculate the derivative. z = 3x2 + 1 dz dx Ix = -2 ||

A: Given z=x3x2+1dzdx=ddx3x2+1-x*ddx(3x2+1)(3x2+1)2     =1(3x2+1)-x(3*ddx(x2)+ddx(1))(3x2+1)2

Q: Find the derivative of the function using the Power Rule for Functions. y = (x² + 6)²(4x³ – 1)3 dy…

A: Y'= ?

Q: Find the derivative using implicit deffirentiation of x^2 - 2xy +y^2 - 6x + 2y = 0

A: Given,          The derivative using implicit deffirentiation of x2-2xy+y2-6x+2y=0

Q: Find the derivative of y=x²sin⁴x+xcos²x

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Q: calculate the derivative with respect to x.  y^4 -2y = 4x^3 +x

A: Given:  y4-2y=4x3+x To find: dydx

Q: Evaluate the derivative So (3t² – 2t +1) dt. -

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Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

Q: Differentiate the functions: 1. y = 3x – Vx 2. y = 2 – 3x – 3. Given the function f(x) = x³ – 5x +…

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Q: What is the derivative of cy = 2 - a°y ?

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Q: TR (Q) = 18Q - 0.5Q? C (Y) = 1500 + 0.75Y AC(Q) = 46 %3D 1.5Q + 4 +

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Q: Find the derivative of the fünction. y = 7(6 - x2)6 %3D

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Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

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

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Q: Find the derivative of f(z)=((11z+4)1/2)(e3z).

A: Given function f(z)=11z+412e3z