Find the derivative of the function. (x) = In(4 – x®) r"(x) =

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

A:

Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

Q: Find the derivative of the function.

A: Given function is By using the properties of logarithm, ln(a/b)=ln(a)-ln(b) and ln(a^b)=bln(a), we…

Q: Find the derivative of the function. f(x) = ln 3x

A:

Q: Find the derivative of the function f(x) = x√ln x

A: Here given Use the formula of product rule of derivatives as

Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

A:

Q: Find the derivative of the function. y = ln(ln x)

A:

Q: Find the derivative of the function. y = In(x8)

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: X+3

A:

Q: Find the second derivative and the points of inflection using the second derivative f(x) = ln(x) /…

A:

Q: Find the derivative of the function.

A: Given y=lnx+1x-1

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

A:

Q: Find the nth order derivative of the function y=sin2x.

A:

Q: y = (cosx)ln*x|

A:

Q: Find the derivative of f (x) = 9ª ln (x).

A: Given: f(x)=9xln(x)

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

A:

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

A:

Q: Find the First Derivative of the Given Function: 2.) x=sec53t

A:

Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

Q: Find the derivative of the function. y = x2 ln x2

A: Consider the provided question, We have to find the derivative of the given function,

Q: 3/x +1 f(x) = X+2 at x = -1

A:

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

A:

Q: In 2x y = - cos x

A: ddxln 2xcos x= ddxln 2x . cos x - ln 2x.ddxcos xcos2 x= 12x. 2. cos x - ln 2x.(-sin x)cos2x= cos xx…

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

A:

Q: Find the derivative of the function. y = ln∣csc x∣

A: Given data:   The given expression of the given function is: .   Substitute u for csc x in the given…

Q: Find the derivative of the function. f(x) = x6 ln(x)

A:

Q: Find the derivative of the function y = cosh−1(3x)

A:

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

A: Given function is

Q: Find the derivative of the function y = 2x − cosh √x

A: The given function is y=2x-cosh x. Obtain the derivative of y=2x-cosh x as follows.

Q: Find the derivative of the function h(x) = x2 arctan5x

A: The given function is h(x) = x2 arctan5x

Q: Find the derivative of the function. y = ex ln x

A: Consider the following equation: y=exlnx Differentiate y with respect to x: dydx=ddxexlnx Apply the…

Q: Find the derivative of the function. f(x) = ln(x2 + 3)

A:

Q: Find the derivative of the function

A: We have to find the derivatives of the function: y=x tan-12x-14ln1+4x2 If two functions are in…

Q: Find the derivative of the function. f(x) = ln(4x)   f '(x) =

A: Given function

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

A:

Q: Find the derivative of the function g(x) = ln √2x

A:

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

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

A:

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

A:

Q: Find the derivative of the function.

A: Given

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

A:

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. 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 function y using the increment method or three- step rule. vx +1

A:

Q: Find the derivative of the function y = 1/ln(1 − 7x)

A:

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

A: Chufu

Q: find the derivative of y with respect to the givenindependent variable. y = 3-x

A: