consider a continuous function y=f(x) whose first derivative is y'=x(x- 2).

Q: Find the 5th derivative of the function y=x2sin2x at x=0.

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Q: Find the derivative of function.

A: Find the derivative of function. y=(ln|x+1|)4

Q: Find the derivative of the function. 1-X y arctan, 1+x y'= I3D

A:

Q: Find the derivative of the function. 5x g(x) = [¨ cos(r}]dt cosx

A: We will use Lebnitz rule to differentiate the function .

Q: Find the derivative of the function. 1 + x 1 - x y = arctan y' =

A:

Q: Find the derivative of the function y = arctan x + x 1+x²

A: Given: y=arctanx+x1+x2Recall the formulas:ddxarctanx=11+x2     ..........1ddxuv=vdudx-udvdxv2…

Q: Find the derivative of the function. 2x F(x) = arctan(t) dt 1 2 arctan(2x) F'(x) = (arctan(Vx)) -

A: Here we have,

Q: Find the derivative of y with respect to x. Y=ln(13x)+x dy/dx

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

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Q: y = (cosx)ln*x|

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Q: Calculate the derivative at the point (1,1) of the function given by the equation x−y=ln(xy) where…

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Q: The total derivative of f(x,y) = ylnx  is

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Q: Find the derivative of function.

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Q: Find the derivative of the function. 1 3x' g(x) = dt 1 + t4 Jtan x

A: Given : g(x) = ∫tanx3x211+t4dt

Q: Find the general anti-derivative of f(x) = + Vx on a continuous interval.

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Q: Find the derivative of the function. rlx) = [in[x*}}°

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

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Q: Find a function y=f(x) whose second derivative is y''=12x-2 at each point (x,y) on its graph y=-x+5…

A: The second derivative of the function, y and tangent to the graph of y is given as,

Q: Calculate the 4th derivative of the function y=x2/x−1 at x=2.

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Q: Find the most general anti-derivative of f(x) = 9Vx +1+ cos x.

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Q: Use central difference approximations to estimate the first and second derivatives of y = e* at x =…

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Q: Find the derivative of y with respect to x. y = tan 1 (In 4x) 1+ (In 4x)2 xV1+ (In 4x)² x(1 + (In…

A: We will find the derivative of y with respect to x as following.

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

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

Q: find the derivative of y with respect to the appropriatevariable. = cosh-1 2√x + 1

A: Given: y=cosh-12x+1Here ,we havecoshy=2x+1Taking the derivatives on both…

Q: Compute the derivative using derivative rules.

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Q: Find the derivative of the function. y = 3 tan(x - V1 + x 1 + x2 y' = ||

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Q: Find the derivative of z=(ln5)e^x dz/dx=

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Q: Find the derivative of y with respect to X. y = tan 1 5x 105x(1 + 5x) 2(1 + 5x/5x J1- 5x 1+ 5x

A: It is derivative.

Q: Find the derivative of the function. • 2x2 g(x) = 1 dt 3 + t3 /tan x g'(x) =

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Q: Find the derivative of the function y= arctan x +x/1+x2

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Q: What is the value of the first order derivative of the closed function given as…

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Q: Find the derivative of the function y = arctan x+ 1+x?

A: To find: The derivative of the function . Calculation: Find the derivative of the function.

Q: h(x) = tan(x' sinx) sinx (b) y= - V1+ cosx

A: Topic = Derivative

Q: Find the derivative of y given that y= x In x et

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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: Find the derivative of the function. y = arctan 1 + x 1 - X y' =

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Q: 9. For f(x) = arctan (2 sin ( Vx )) , compute the first derivative at the point %3D X =

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Q: F(x) = "(5t - 1) dt %3D

A: We need to find the first derivative of F(x)=∫x2x(5t-1)dt. By Leibniz's integral rule,…

Q: Find the derivative of: x²y = (y + 2) + ry sin(x)

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Q: Find the derivative of the function.   y = In(x)/x9

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Q: derivative of a Y with respect to x Y= ln (15x)+3x dy/dx=

A: Use formula of derivative to solve

Q: Find the derivative of f(x) = 4e 3x + e -x^2 f(x)= ?

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 x/2

A: We have to find derivative of y with respect to the appropriate variable: y=cosec-1x2 Rewriting the…

Q: Find the derivative of the function. 1 g(x) = dt Jtan(x) V2 +

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Q: Find the second derivative of y=x-1 at x=2

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Q: Find the derivative of y = arccos x + x 1-x²

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Q: Find the derivative of f(x) = 3/x ln(x), f' (æ) =

A: Chufu

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

A: