Find the derivative of the function. y = (3x + 1)°(x+ - 6)° A y=(32x +9)(3x +1) (x*-6)° B y' = 9(3x + 1)(x- 6)° +32x(3x + 1) (x+-6) y' = 9(3x+1)(x4-6)° +32x (3x+1) (x* -6) (D O-*+1F+-6* +32+(3x + 1) x* -6) y-9(3x+1x-6)*+(3x+1)lx+-6) E

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Q: Find derivative of 2x^4y^3-xy^2 using chain rule.

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

Q: 1) Find the derivative of y =-+x-1 %3D

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Q: 5. Find the first derivative of y = (2x³ – 1)5Vx² – 1 %3D

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Q: Find the derivative of the function at the given number. f(x) = 3 – 4x + x², at -1 %3D f'(-1) = %3D

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Q: Determine Step 3 using 4-Step Rule in finding the derivative of  y=2sin(x)cos(x).

A: Introduction: The four-step method to find derivatives is actually determining the derivative of a…

Q: Find the first derivative of: y=〖sec〗^4 x-〖tan〗^4 x y=xArcsinx + √(1-x^2 )

A: We have to find the derivative of the given function.

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

A: The equation is given by

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Q: Find the derivative of y=x^(7sinx). (x>0).

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Q: 10. f(x) = cos (2x)e*²-1

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

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

Q: ind the derivative of y=(x-1)(2x-x2)1/2 - arccos(x-1)

A: Given function: y=x-12x-x2-arccosx-1

Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

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A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first…

Q: Find the derivative of the function. x + 6 X-6 y' = y = In

A: I have appended the formula used in the solution part of the question.

Q: Determine the derivative of y = ln(4x² - 2x). O 8x-2 4x-1 8x-2 4x²-x 4x-1 4x²-x 4x-1 2x2- -x O O

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Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

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Q: 2 Find the derivative of: 9/x + 4x – 2 - - d 2 + 4x - - dx II

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Q: Determine the derivative of the given function by using two different methods 2- 3) y = ² + 3

A: Given: y=x2-3x2+34

Q: Find the derivative of x2cosx+2xsin x O 2xcos x O x² sin x + 2xcos x Ọ xzcosx y=x²sinx

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Q: (2x + 3)4 (5x + 1)(x² + 3) y = (3х — 1)3, Find the derivative of the function x3 + 4 A. dy dx (2x+3)…

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Q: Find the derivative of y with respect to x. 1, 1+x2 In 1- x3 y

A: If you have function f(x) in the numerator and the function g(x) in the denominator, then the…

Q: Determine the second derivative of 2x+ y-- 4 y 6.x (y + 2)--9(y+2) A B - 6x (y+ 2)-+ (y + 2) - 6x (y…

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Q: Find the derivative of: y=x^(7sin(x)). (x>0).

A: Multiplication rule of derivative is used.

Q: Find the derivative y=ln(2x^3+6x-1)^3

A: y=ln2x3+6x-13 take derivative y'=ddxln2x3+6x-13 y'=12x3+6x-13ddx2x3+6x-13

Q: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

A: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

Q: Find the partial derivative. 4 = (x² + 6x – 3y)* - dz

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Q: Find the second derivative (y”) of 4x2 + 9y2 = 36 by implicit differentiation. a. -16y3/9      b.…

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Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: Зx+1 5. f(x) %3D 3x2+2

A: f(x)=3x+13x2+2Differentiate…

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A: We have to find derivative

Q: How do you find the partial derivative of a given function using the definition formula?

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Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.) y=…

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Q: 2. The derivative of y = (1 + Vx3) (x3 -2 V) is y'=-3x4-3xs-2z2-11xº.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Find the first derivative of y=3x^2-2√x

A: We have to find the derivative from the given function

Q: Find the derivative of the function. g(x) = 2(3- Ex)

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Q: Find the derivztive of the function

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Q: Determine the second derivative of y = v5x² + 1 Determine the third derivative of y = (x² – 1) (2x3…

A: Second derivative of5x2+1 is  d2dx25x2+1

Q: Find the derivative of the function. X +8x + 3 y3D VX

A: Here we use the quotient rule of differentiation ddxuv =vdudx-udvdxv2

Q: Determine the second derivative of 6 y – xy²= I Ay"= 2y³ ( 6 – 2x y)-2 ( 2 - x y ( 6 – 2x y )-1) ®…

A: Let's find.

Q: Find the value of the derivative of the function f (x) = 16 - |x| at the extremum point ( 0, 16)

A: We have to find the value of derivative of the function f(x) = 16 - |x| at the extremum point…

Q: how do i find the derivative of this but not simplified  y= (x^2+x+6)(x^1/3-2x^1/2+1)

A: To determine the derivative of the function.

Q: 1.Find the derivative of y = - arcsin %3D V4-x2

A: Given:        y=x4-x2-arcsinx2 differentiating on both sides     dydx=ddxx4-x2-arcsinx2…

Q: Find the second derivative y=5e^x -2/x^3 +4sqrt(x) -12sec x + 5lnx - pi/2= Find equation of tangent…

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Q: r(x)= cos (3x)

A: