4. f(x) = In cosh (4x)

Q: dy Find dx 5 + y = cOS X tan x

A:

Q: Find the derivative of the following functions. De not simplify your answer. y- cos'c)

A: Given that: 1. f(x)=ex2cos3x   NOTE: As per our answering guidelines, we can only answer 1 question…

Q: -1 4. h(x) = x ( cos 2x ) at x = 0.1 5. f(x) = x Arcsec Vx at x = 2 %3D

A:

Q: 10. F(x) = Arcsin %3D Vx2 + a?

A:

Q: Find the derivative of the given function. Simplify your answer. y = In(sec z+ tan r) %3D

A: Given, y = lnsecx+tanx   We have to find the  derivative of the given function.

Q: r(0) = tanh-1(cos 0) + cosh(0º)

A:

Q: 1) Find the derivatives of the following. Simplify your final answers. d) l(x) = tanh-1 x + In v1 –…

A: Part d,Given,           lx=tanh-1x+ln1-x2To find : Find the derivative of the given function.

Q: Find the derivatives of the functions r = √(2θ sin θ)

A: Product rule of derivativef'u.v=v f'u+u.f'v or   u.v=u'v+v'uQuotient rule of…

Q: Find the derivatives of the following functions at the given points. Use at most two decimals and…

A:

Q: Find the derivatives of the functions defined as follows.

A: The given function is y=18sin 8x. Differentiate y with respect to x. y'=ddx18sin 8x=18ddxsin 8x

Q: y = cos (e*)

A:

Q: Compute the derivatives of the following functions. Find the value of the function and the slope at…

A: You must have an idea about the derivative.

Q: 3. Find the derivative y' for each of the following curves/functions. Show all work toward your 12…

A:

Q: b) f(x) = Vx + 3 х +

A: The function is: fx=x3+1  x3

Q: 6. y= cot Vx2 - 2x -1 7. h(x) = Sin Vx %3D

A:

Q: Find the derivatives of the functions r = 2θ√cos θ

A: Given: r=2 θ cosθ To determine: drdθ

Q: Find the derivatives of the functions r = sin (θ + √θ + 1)

A: r = sin (θ + √θ + 1) To find the derivatives of the functions. dr/dθ = ?

Q: 41. y= (1+4x)(3+x-x²)

A: see below the answer As we know that  ddxuv=dudx×v+u×dvdx  for u and v are two function of x

Q: mt) cos(r b) f(x) = /2r(4°

A:

Q: Determine the second derivative of y = V5x² + 1 Determine the third derivative of y = (x² – 1) (2x³…

A:

Q: Compute the derivatives of the following functions. Find the value of the function and the slope at…

A: Solution is given below:

Q: Find the derivatives of the following functions at the given points. Use at most two decimals and…

A: use the basic property of derivative.

Q: 28) y = tan² 2 29) y = In ln x 30) y = (x In æ)²

A:

Q: Examine the analyticity of the following functions: f(z) = e²? If the function is analytic, find the…

A:

Q: fi fa>= 2 g. %3D 4X+1 3X-2 he fの= Wi fac) = X²+1 X3+1

A: There are multiple sub parts, As per company Policy I have answered first 3 subparts g.

Q: Find the derivative. y = x tanh-(x) + In( V 1 - x²) y'(x) =

A:

Q: sin(x - y¹) 3+ 2x = sin(x

A:

Q: Determine the third derivative of y = In(2x + 3) Determine the third derivative of y = e(-x²/2)

A:

Q: Q/ Find derivative of the following function d 5tanx dx

A:

Q: Find the derivatives of the following functions (use methods taught in th possible. (*), ue X = q…

A: we have to derivative

Q: Find the derivatives of the following functions. Do not simplify your answer. (1) y=e*+e° +ex (ii)…

A: →Use chain rule of differentiation.→ddxuv = vdudx - udvdxv2→duvdx = udvdx + vdudx

Q: 2. y= cos (x³ + 1)

A:

Q: 3 18. z= +5y')

A: Note- Since you have asked multiple question, we will solve the first question for you. If you want…

Q: 32. y= Vile +1+r*)

A: Note- Since you have asked multiple question, we will solve the first question for you. If you want…

Q: xsin (y) + ycos(x) = 1

A: To find the derivatives of the given functions.

Q: 4. Find the derivatives of the following functions. Do not simplify your answer! d (a) sec x dr V +1…

A: As per Bartleby answering guidelines if a questions has multiple subparts then an expert is expected…

Q: Find the derivative of the function below.   r-sin (theta^9)cos(9*theta)   dr/dtheta=

A:

Q: Find the indicated derivatives of the following function. (Do not show work.) f (2, u) = sin(3y) -…

A:

Q: 1. Find the derivatives of each function then simplify completely. f (x) = 2a - 5a2-+5 y = x'V? +3…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: 25. y%3= Vx +1

A:

Q: Find the derivative of the following function. Do not simplify your answer. f(t) = cos" (3r + 4)!0)

A: Solve the following

Q: Find the derivative y' = f'(x) of the given function y = f(x). %3D Graph y = f(x) and y' = f'(x)…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

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: