Let f'(x) = e* and g(x) = f(Vx). Let L denote the slope of the tangent line to the graph of the function h(x) = g(11x + 7) at x = 0. Calculate e7

Q: Find the derivative of the function.…

A: The given function is hx=x2arctan8x

Q: Find the derivative of function.

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

Q: find the derivative of y with respect to the appropriatevariable. y = sin-1 3/t2

A: We differentiate with respect to t using chain rule.

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = 1 + ln t/1 - ln t

A:

Q: find the derivative of y with respect to the appropriatevariable. y = ln (cosh z)

A: We will differentiate both sides with respect to z. We use the chain rule.

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

A: It is derivative.

Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

A:

Q: find the derivative of y with respect to the givenindependent variable.

A:

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

A: Given function is Differentiating both sides with respect to , we get

Q: eリ- + 2y eTy x° +

A:

Q: find the derivative of y with respect to the givenindependent variable. y = θ sin (log7 θ)

A:

Q: Find the second implicit derivative of the given using implicit differention y2-3x+2y=0

A:

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

A: Find the derivative of y with respect to the appropriate variable.

Q: Find the derivative with respect to x: y = tan(Vx2 – 1) + csc-(x),x > 1

A:

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (3te-t)

A: We expand the function using the properties of logarithm

Q: find the derivative of y with respect to the appropriatevariable. y = cos-1 (x2)

A: Given function is y=cos-1x2. Chain rule of differentiation states that: ddxfgx=f'gx·g'x…

Q: calculate the derivative with respect to x. ln x + ln y = x − y

A:

Q: Find the derivative of ,In sin-1) y = e %3D

A:

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

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

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: find the derivative of y with respect to the appropriatevariable. y = ln (tan-1 x)

A: The given function is y=lntan-1x

Q: What is the derivative of * In(xy) = e"y – arccos(xy)?

A: We differentiate given equation

Q: Find the second derivative of g(x) = sinh(x) cosh(x)

A:

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

A:

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

A:

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

A:

Q: Find the derivative of y = arccos 4x with respect to x.

A: Given that: y=arccos4x

Q: Let y = x(ln x)² – 2x In x. Find the value of X for which the second derivative, y" (x), equals…

A: Solve the following

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

A:

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 y with respect to x, t, or θ, as appropriate. y = ln (θ + 1) - eθ

A:

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

A:

Q: Give the derivative of f(x) arctan an(e³*) at the point where x = 0.

A:

Q: Find the derivative of f(x) = e" – a3 +In(x) - In(x)

A:

Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = using a value…

A: Given we have given the function y=cos(x) we have to find the first derivative of y = cos(x) at x =…

Q: find the derivative of y with respect to the givenindependent variable. y = log4 x + log4 x2

A: Given: By using logarithm base change rule, the function can be rewritten as follows,

Q: Find the equation of the tangent line to the graph of f(x) = 4^(x/ln2) at the point where x is ln16.

A: We find dy/dx to find the slope at x.

Q: Use backward, forward, and centered difference approximation to estimate the second derivative of…

A:

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

A:

Q: Find the equation of the tangent line to the curve y = ln(4 ln x) at the point where x = e. %3D

A: It can be solved using differentiation.

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (cos2 θ)

A:

Q: Find the nth derivative of the function y=xlnx at x=1.

A:

Q: Compute the derivative for y= (e^-4x sin^2(x)) / (x^2 + 3x + 1)

A:

Q: Calculate the derivative of the function y=log2 x ln (2x) at x=1.

A:

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

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log5 ex

A: On simplification, we get

Q: 2. Calculate the derivative of y = arccos(e arcsin(x2)

A: Let u=arcacos(e^x) and v=arcsin(x^2), then y=u/v

Q: find the derivative of y with respect to the givenindependent variable. y = log3 (1 + θ ln 3)

A:

Q: Find the equation of the tangent line to the curve y = log(x2-3x+1) at the point (3,0)

A:

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

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.