Find the derivative of the function. f (x) = x(2x – 6)3 f '(x) =

Q: i. y= ) In (x+3

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Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

Q: Find the 4th-order derivative of the function y=xsinhx.

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Q: 4. Calculate the derivative of the given function directly from the definition of derivative y = v2x…

A: Given function is  y=√(2x+1)

Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

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Q: x + x dx x2

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Q: Find the derivative of the function

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Q: Find the derivative of the function. y = e-2x sin x

A: The derivative of the product of two functions f(x) and g(x) can be determined using the product…

Q: X+3

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Q: Find the derivative of the function y = ln(9 – e-ª).

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Q: 1 Find the first derivative given that f(x) = xdx +

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Q: Find the derivative of f(x) = ln∣cos x∣.

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Q: Find the derivative of y with respect to x. 2. y²(x + 2y) = e²

A: Given,

Q: Find the derivative of y with respect to x. y = sec -1 (3x2 + 1), X>0

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Q: Find the derivative of the function. y = ln√(x2 − 4)

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Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: Find the derivative of y=. =x²- 1 2 COS X

A: Given,  y=x2-12cos x

Q: Compute the derivative of the function y=x2/ln x at x=e.

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Q: Find the derivative of the function.

A: Given that, f(x)=ln(x-1)   As we know, ddxln(x)=1x Chain Rule Of derivative, If…

Q: 8. Find the derivative of the function. y= In(1+x)

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Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: Determine the first derivative of the ff. function y = Vxe2* cos x

A: Derivative of a function gives the tangent of the curve at a given point. Derivatives are used to…

Q: Find the derivative of the function. h(x) = x² arctan(5x) h'(x) =

A: h(x)=x2tan-1(x)

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: Find the derivative of the function. 1- e3x 1 + e3x y = cos y' =

A: Given that: y = cos1-e3x1+e3x To find: We have to find the derivative of the given function.

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = (x2 ln x)4

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Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: Find the derivative of the function y = e2x tan 2x

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Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = x4/4 ln x - x4/16

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Q: Find the derivative of the function

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Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 (x2 + 1), x > 0

A: Given that, y=csc-1x2+1

Q: Find the derivative of the function. f(x) = ex - xe

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Q: Find the derivative of the function y = x2 Sin x - 2 Cos x.

A: y=x2sinx-2cosx

Q: Find the derivative of the function. f(x) = ln(x − 1)

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Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

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Q: Find the derivative of the function. y = ln(x√x2 − 1 )

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Q: Find the derivative of the following using the three-step rule 2. y=Va² +x

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Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

Q: Find the derivative of the function - 3x f(x) = 3 ln(x) + e - df dx

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Q: Determine the 8th derivative of y with respect to x of the function : f(x) = 1 / 1 + x2 and find the…

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Q: Find the derivative of y with respect to x y = csc^(-1)(x^6 + 1), x> 0

A: Find the derivative of the given function.

Q: Find the derivative of y with respect to x    y=ln(x-7)

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Q: Find the derivative of the function. 9 y =- Vx + 1

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Q: Find the derivative of the function. y [x + (x + sin²(x))-1*

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Q: Find the derivative of the function. y = e* In x

A: Find the derivative use product rule

Q: Find the derivative of the function. h(x) = x² arctan(8x)

A:

Q: Find the derivative of the power function y=xn.

A: y= xn To find the derivative of y