y = 3 tan + 4 cot 2x - 5 csc x + e-2r

Q: 4. V (y) = e v'(y) = 5. y = csc-(x) – 4 cot-1(x) y' =

A: Given: to find the derivatives of the following functions.

Q: 3. a. -2 s = cos ¹(sin z) b. 1 C. -1 d. 2

A:

Q: Evaluate the derivatives of the following functions

A:

Q: Find the derivative of the following function. y = sec x + 2 cot x

A: See the details solution in below

Q: Find the following derivatives: 1) y = sincos2x?

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Use the rules for derivatives to find the derivative of function defined as follows.

A: The derivative gives the rate of change of a function. It gives the slope of the function at a point…

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

A: The given function is y=cotxx-4

Q: Obtain the derivatives of the following functions f(x) and enter your answers as functions of æ in…

A:

Q: Find the derivatives of the function defined as follows. y = 2x sec 4x

A: Giveny=2xsex4xTo find derivative of y

Q: Find the derivatives of the functions w = re-r

A:

Q: Determine the derivatives of the following functions. (1) f(x) = 4x/x+ Vx S(«) = cos (eva 3 (ii) tan…

A: Part i,Given,          fx=4xx+x

Q: Find derivatives of the functions defined as follows: y = 73x+1

A: y=73x+1ory=73x·7ory=7·73x Use formula of derivative ddxax=axln a

Q: Find the derivative of the following function, where a and b are nonzero constants. a sin x+b cOS X…

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: 4. r(w) = csc(7w) 5. G(x)=2sin(3x+tan(x)

A: Note: As per the company's policy we have to solve only one question, So kindly repost the other…

Q: Find derivatives of the function defined as follows. y = 1.2e5x

A: Given: y = 1.2e5x

Q: Evaluate the derivatives of the following functions.

A: fy=tan-12y2-4

Q: Find the derivatives of the functions tan, cotan, sec, and cosec.

A: We know that (sin x)' = cos x(cos x)' = -sin x We will use the formulas uv' = vu'-uv'v2 Consider tan…

Q: Find the derivatives of the following functions. F(z) = 3 + cos(2z −1

A: Given :   f(z) = 3+cos2z-1

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

A:

Q: Find derivatives of the function defined as follows.

A: Consider the given function as y=ex+e-xx

Q: Find the derivatives of the functions y = t tan-1 t - 1/2ln t

A: Given function y=t tan-1t-12ln(t) Find derivative of the given function

Q: Find derivatives of the functions defined as follows: y = (x + 3)2e4x

A: Chain Rule of differentiation: ddxf(g(x))=f'(g(x))g'(x) Product Rule of differentiation:…

Q: 4х y = tan

A: Given : y=tan4x5 To find: The derivative of the given function

Q: Find the derivatives of the following function. sin (ax +b) (cx +d) Cos

A:

Q: Find the derivatives of the function y defined implicitly by each of the following equation…

A: Solution: The objective is to find the derivative of the given function implicitly

Q: Find the derivatives of the functions y = 5 cot x2

A: Given: y=5cot x2Differentiation formula:ddxcotx=-cosec2xddxxn=n .xn-1

Q: 1.) у %3D cos —9:х3 y' =

A: We have to find the derivative of the function: y=cos-1 -9·x3 We know the formula of derivatives,…

Q: y у %3D sin(3x + 2)

A: Use rules of differentiation

Q: Find the derivatives of the function defined as follow y = cos5 x

A: To find the derivative of the function, y=cos5x, use the power rule, ddx(xn)=nxn-1 and the chain…

Q: f(x) = sec(x2 – 1) + tan(x2 – 1)] e(æ+æ)

A: Given function - f(x) = secx2-1+tanx2-1ex2+xDifferentiating on both sides with respect to x -f'(x) =…

Q: Find the derivatives of the following functions as specified: f(x) = sin(cos r), f"(x)

A: Given: f(x)=sin(cosx) We have to find the second derivative which we can find by the use of chain…

Q: 5.) y = cot 7 x³ y' = %3D

A: Giveny=cot7x3To find y'.

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: Find the derivatives of the following. 1. y= sin (e**+ 2x +5)

A:

Q: Find the derivatives of the functions k(x) = x2 sec (1/x)

A:

Q: Find the second order derivatives of the following functions f(x) 3x - x' i) Tan 1-3x

A:

Q: Find the derivatives of the following functions using derivative shortcuts a) f(x) = sec( sqr(x…

A:

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

A: Given, y=3 tan14x+4 cot(2x)-5 csc(x)+e-2x

Q: Use the derivatives table to help you find the derivative of the following function. Given y = In(8x…

A: Given that, y=ln(8x3). Obtain the derivative of the given function.…

Q: Find the derivatives of the functions defined as follows. y=12tan(9x+1)

A: Given: y=12tan9x+1

Q: Find the derivative of the following function and simplify as much as possible: f(x)= In(cos(2x)) a.…

A: Use the chain rule of derivative and simplify the result.

Q: Find the derivatives. SIMPLIFY to one fraction or integer 5. a. g(t) 8t ln2 t b. y cos(tan 0)

A: Part (a):Find Derivative:

Q: 2.) у %3D tan1 -9-х3 – 9•x³ y' =

A: Given function, y=tan-1-9x3

Q: Find the derivatives of the functions y = (1 + t2) cot-1 2t

A: We have to find the derivatives of the function: y=1+t2 cot-1 2t When two functions are in product…

Q: Calculate the derivative of the following functions. y = (1 + 2 tan u)4.5

A: The given equation is y=1 + 2 tan u4.5.

Q: Find the derivatives of the following functions. h(x) = sin(θ) cos(θ).

A: Here, I have considered derivation based on θ and x both. So, We try to find both dh(x)/dθ and…

Q: Find the derivative of the following functions. Write your answer on a separate sheet of paper. 1. y…

A:

Q: 4. Find y' * 2 (x – y)² = sin x + sin y

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: