Find g'(x) if g(x) = Arccsc f (x) where f(x) is a function of x and f'(x) is its derivative. gʻ(x) = -f'(x) Arccsc f (x) Arccot f (x) g'(x) = - xVx² 1 f(x)+f'(x) Arccsc x 1 g'(x) = f'(x) f(x)JF²(x) – 1' 1 g'(x) = f'(x) xVx² – 1° %3D

Q: Find the first derivative of y=x arcsin x + √1-x²

A: y=x arcsinx+1-x2

Q: Find the derivative: y = ln² (3x + 1) O y' = O O O y' = y' = y = 2 ln(3x + 1) (3x + 1) 6 (3x + 1) 3…

A: Consider the function y=ln2(3x+1). The objective is to find the derivative of the function.

Q: Shows the derivative function of: 2x² + ln x²(2x² + 5x − 1)

A:

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

A:

Q: Find the derivative of function. y = ln(2 - 5x)

A: we have to find the derivative of y = ln(2 - 5x)

Q: calculate the derivative with respect to x. ln(x2 + y2) = x + 4

A: Given function lnx2+y2=x+4 Differentiate the above function w.r.t 'x' ddxlnx2+y2=ddxx+4…

Q: Find the derivative of ƒ (x) = 5ª In (x).

A:

Q: Find the first derivative of y = (ln x)4

A: Given the  y = ( ln x)^4 We need to find the first derivative . Therefore differentiate to given…

Q: Solve for the derivative of the Hyperbolic Differentiation. 1. y = ex cos h 2x 2. y = ln sin h x…

A:

Q: find the derivative of the function  y'=ln(squared root of x^2-4) and  y=ln IsinxI

A: The given function is y=lnx2-4. Obtain the derivative as follows.…

Q: Find the first and second derivative of any function defined implicitly by yx2+ y2= x

A: Given,           yx2+y2=x

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 f(x) = tanh(4x2 + 3x)

A:

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

A:

Q: derivative of y = arctan(x2+ 3)

A:

Q: Find the derivative: y = 6 In x 6 ln x-1 x7 1-6 ln x 12 1+6 ln x x12 4 O 1-6 ln x x7 O

A:

Q: (b) Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y3. dx

A:

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

A:

Q: Find the derivative of the function f(x) = cosh(8x + 1)

A:

Q: find the derivative for  h(x) = 3e ^ -x * ln(2x+1)

A: Using product rule of derivative In order to solve the given problem.

Q: Find derivative of y=xsin2x

A: We will need product rule. Assume, u=x and v=sin2x. Now, we have u=x ⇒u'=dudx=dxdx=1  and v=sin2x…

Q: What is the derivative of: y ln x − x ln y = 1

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

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 function. y = (3x + 7) ln(2x - 1)

A: To find the derivative of the function: y=3x+7 ln2x-1 Solution: Product rule of differentiation…

Q: Find the derivative of  y=ln [tan-1(7x5)] with respect to x.

A:

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

A:

Q: Find 1st and 2nd derivative of:   f(x)=(5x^4 + 3x^2)*ln(x^2)

A:

Q: 5. y=x3 Find derivative ldv 4.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find the derivative of y = arctan² (x³)

A: This is a problem of differentiation of the function. Based on general formula we will solve this…

Q: Find the derivative of f(x) = –4 ln (5 cos (-4x))

A:

Q: find the derivative of y with respect to x. y= ln3x

A: We can solve the given problem using chain rule derivative.

Q: 2 Find the derivative of y = arctan(x´ + 3)

A: 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 = ln3/x

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.   y = In(x)/x9

A:

Q: Find the derivative of y = csc(V3x² +1

A:

Q: Compute the derivative of (ln x)^ln x

A: To find the derivative of (ln x)ln x Using the exponent rule ab=eb ln a we get, (ln x)ln x=e(ln x)ln…

Q: Find derivative of: h(x) = ln(2sec(x))

A: topic - derivative of a function  derivative of: h(x) = ln(2sec(x)) is tan x

Q: Find the derivative of ƒ(z) = ln2x 1. 2z

A: We first expand using the addition property of log.

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

A:

Q: Shows the derivative function of: x³  + ln x(3x² + 5)

A:

Q: 2. Find the derivative In (x+) y3=

A:

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

A:

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

A:

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

A:

Q: Find the derivative of f(x)= ln x^2/x^2+1

A:

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

A:

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

A:

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

A: Chufu