find the derivative of y with respect to the givenindependent variable. y = 2(s2)

Q: Find the derivative of y with respect to the independent variable. 24) y = 2ln 10t

A:

Q: find the derivative of y=4e^-2/t

A:

Q: Find the derivative of the function = etan(e) y' =

A: y = etanθdydθ = detanθd(tanθ) × d(tanθ)dθdydθ = etanθ.sec2θ

Q: Find the derivative of the function. anh 2

A: the given equation is

Q: y' +y = x*

A: Given: y3+y=x4

Q: 3) Find the second derivative of y with reference to x. xcosy = y

A:

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

A: It is derivative.

Q: Evaluate the derivative of the function at the given point. 1 y = 7t + 1 = - 1

A:

Q: find the derivative of y with respect to the givenindependent variable. y = t1-e

A: In this equation the independent variable is t So we will differentiate with respect to t

Q: 5. y= 2arctan(vx)

A: We need to evaluate the derivative of the following function y = 2arctanx

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 (1/2)θ

A:

Q: Find the derivative of the function

A: The derivative of any function y=f(x),containing the variable x is defined as the rate with which…

Q: Find the derivative of the function y = coth−1 (e2x)

A:

Q: find the derivative of y with respect to the appropriatevariable. y = √(s2 - 1) - sec-1 s

A:

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

A:

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

Q: find the derivative of y=√e^x +1

A: The given function is

Q: find the derivative of y with respect to the givenindependent variable. y = log2 r . log4r

A: Recall the properties of logarithms:

Q: find the derivative of y with respect to the givenindependent variable. y = 3log2 t

A:

Q: Find the derivative of the function given by the equation y2=2px, where p is a parameter.

A: Given equation is Where p is a parameter. This equation is the canonical equation of  a parabola.…

Q: Find the derivative of the function. y = tanh-(6x) V6 1+ 6x y' =

A: derivative of the function..

Q: find the derivative of y with respect to the givenindependent variable. y = 3 log8 (log2 t)

A:

Q: Find the derivative of y with respect to z. y=5 (2)

A:

Q: Find the derivative of the function. h(e)- (-1) ( 1) +]

A: Given ht=t4-15t3+16

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

A:

Q: Find the derivative of the function. y (x2 + 3) coth y' =

A: The given function,y=x2+3cothx3

Q: Find the derivatives of the functions y = (1 + x2) etan-1 x

A: Product rule (uv)'=u'v+uv' ddxxn=n xn-1ddxex=exddxtan-1x=11+x2

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: 1) Find the derivative of y with reference to < Y 블+름 2y Y

A: Here is the solution:

Q: Find the derivative of the function y = e5x

A: To find the derivative of the function y=e5x

Q: find the derivative of y with respect to the givenindependent variable. y = log2 5θ

A:

Q: Find the derivative of y = x"+1 + (n + 1)*

A:

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

A:

Q: find the derivative of y with respect to the givenindependent variable. y = log2 (8tln 2)

A: We first expand the equation using the addition property of log and the change of base property.

Q: Find the derivative of y with respect to x y = csc^(-1)(x^6 + 1), x&gt; 0

A: Find the derivative of the given function.

Q: y= 4x2-2x - 3

A:

Q: Find the derivative of the function. h(x) ető - x + 1 ets

A: hx=ex8-x+1

Q: Calculate the derivative of the following: y = Vx + 4

A:

Q: How do I find the derivative of this problem?

A:

Q: Find the second derivative of the equation below evaluated at y = 1:

A: Given that: The implicit equation 4 e y + x y = 4e.

Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: -5

A:

Q: ez Inx II Inx

A: I have used multiplication rule for derivative

Q: Find the derivative of the function

A: Given,

Q: Determine the derivative of the function (x) = %3D 3+e3*

A: Authoring guidelines:…

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

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: