Find the derivative with respect to x if f(x) = e 2x %3D The derivative with respect to x if f(x) = e-2X is 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 derivative of the function. y = ln(2 − e5x)

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Q: Find the derivative of the function. y = 3x e -X - 3 ex3 dy dx

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Q: Find the derivative of the function. x coS X y = e*cos x

A: Differentiation is the rate of change of some variable with respect to the other variable. Chain…

Q: part ii, thank you very much.

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

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Q: Find the derivative of y with respect to x of y = xlnx – x.

A: Using rules of differentiation.

Q: eリ- + 2y eTy x° +

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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. h(x) = x2 arctan(5x)

A: Given function: hx=x2tan-15x Differentiate the above function w.r.t "X" h'x=ddxx2tan-15x

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

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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 implicit derivative of x^3 + x tan^-1 y = e^y

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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 with respect to t. y= csc-1(et)

A: Given:

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 f(x) = ln(sinh x)

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Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

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: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f…

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 z=(ln5)e^x dz/dx=

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Q: find the derivative of the function.

A: h(x)=xcosx

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

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Q: What is the first derivative of the expression (xy)× = e?

A: See the details solution in below

Q: find the derivative of y with respect to the appropriatevariable. y = (x2 + 1) sech (ln x)

A: Given: y=x2+1sechlnx

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln (t3/2) + √t

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Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

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

A: Given function is

Q: y = e* - cos 3x + xlog.(1+x)

A: By using some formula of derivative

Q: Find the derivative of the function y=cos(3 In x).

A: Given y=cos(3lnx)

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

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Q: Find the derivative dy/dx by implicit differentiation: x2+y2-2xy3=7 Show all intermediate steps

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Q: What is the derivative of: y = x ln cos x

A: The given function is   y = x ln cos x

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

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Q: Find the derivative of the function g(x) = ln ex/(1 + ex)

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

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Q: Find the derivative of g(x) = e-" cos(x²)

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Q: f y = (sin x)x b

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Q: Find the derivative of the function. h(x) = ∣x∣ cos x

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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.

A: Given

Q: Find the first derivative of y = cos*x- sin*x.

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Q: Find the derivative of y with respect to > (x + 6) y = In V (x + 9)60 dy dx (Type an expression.)

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Q: Find the derivative of y with respect to the given independent variable. e* cos' x (1) y= x+1

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Q: dy Y= x ²x-> メ =人

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Q: Find the derivative of y with respect to x. Y=(x^2 ln x)^4

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