Let f(x)=arcsin(2 x). Find the value of f'(0) %3D

Q: Find the first derivative: y = 3 arcsin(cos 2x) %3D O-7 O -8 O -4 O-6 O-5

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Q: Find the period of the function f(x) = sin(1.05x).  Provide 4 decimal places.

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Q: two friends are trying to figure out how many supernova explosions there will be by looking at the…

A: The given function is fx=sin2x-cos2x-1 Convert sin and cos into the single function of sin…

Q: 13. Write down a function f (x) that satisfics f'(x) = 3x2 + 2x – sin r + sec? x.

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Q: Differentiate f(x) = arcsin(3x). Use exact values. %3D f'(x) =

A: Solution is written in below steps.

Q: Find dy/dx of inverse tan(1/x) multiplied by secant(x)

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Q: 1. y = sin(4x) 2. y = sin(4(x - )

A: We need to find period of given function.

Q: S tan' (2x)sec“ (2x) dx

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

Q: Find d/dx (arcsin (π/x^2))

A:

Q: If f(x) = 7x? arctan(8), find f'(x).

A: TO FIND: f'(x)

Q: 2. Arcsin(x/y) = 4x + 3y

A: Given: sin-1xy=4x+3y We know that ddxsin-1x=11-x2…

Q: Find the equation of a cosine wave that is obtained by shifting the graph of y = cos x to the left 9…

A: Please see the answer in step 2

Q: Evaluate each of the following. a) S sec2 (x) tan (x) dx

A: Integration of tan(x) =sec^2(x)

Q: S) - aresin 2. 2 arcsin 2. is constant for 0sxs 4.

A:

Q: Solve the equation for x  arcsin√2x = arccos√x

A: The given equation is sin-12x=cos-1x

Q: Solve the equation for x.

A: Given: arcsin3x-π=12

Q: b. S(5 tan 3x – 2 sec? x)dx S 3xvx – 4dx C.

A: To integrate the given functions.

Q: Show that d/dx(x arcsin x+√1−x2) =arcsin x.

A: We separate the differentiation with both parts

Q: d Find of tollowing functions. faa)= sin" (3%) "(3*) + loga (3²+2X-4)

A: Given: f(x)=sin-13x+log232+2x-4 we have to find the derivative of the given function. Use The Chain…

Q: How many periods of the function y = tan x are there between -27T and T? %3D [?]

A: We have to find

Q: If y = -cos x, what x-value corresponds to a y-value of 1 between 0 and 27?

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Q: If f(x) = 2x(sina + cos a), find f'(x) = %3D

A:

Q: Use trigonometric substitution to integrate dx 4-x2

A: Given,          ∫01x24-x2dx

Q: Find the domain and range of the function f(x)=1-1/2|arcsin(x^2-π)|

A: Please refer the attached image for complete solution.

Q: Please show the steps, thanks. ∫sin^2 x- cos^2 x/ cos x * dx

A:

Q: Compute the following derivative: d 1 dx sin(x)

A: ddx1sinx-3x3First use the power rule and chain rule31sinx-3x2ddx1sinx-3x=31sinx-3x2ddxcscx-3x12…

Q: / (cos(x) + Ex dx 4 +

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Q: 19. Differentiate f(x)= sin(ln x)

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Q: f (x) = arctan(e“) ise ƒ '(-1) =?

A: To find the derivative of  f(x)=arctan(ex) at x=-1

Q: If f(x) = 8 arctan(2e"), find f' (x).

A: answer = 16ex1+4e2x   explanation is given in below step

Q: What is the relationship between the domain of a the function y = sin x and the range of the…

A: Topic:- range and domain of trigonometry function

Q: 8x° valid to 3 decimal place: 3 For what range of x-values is tan (2x') 2x -

A:

Q: Describe how sec t varies as t increases from 0 to p/2.

A: Based on the circular definitions, to represent the values of the trigonometric functions…

Q: 1. ſ tan5 2x sec3 2x dx

A: Let,I=∫tan52xsec32xdxI=∫sin52xcos52x1cos32xdxI=∫sin52xcos82xdxI=∫sin42xcos82xsin(2x)dxusing…

Q: S sin³ x ·cosx dx

A: Given that .∫sin3x cosx dx let I= ∫sin3x cosx dx

Q: A water ride with heights above and below the starting point can be modeled by the function y = 3…

A: Given that the height of the Water ride above the function is modelled byy=3sin(π2(x+3)-2).WE neeed…

Q: AN tan sec()dv A 2 2 2 14s 1YS

A: The given integral is,

Q: | arctan x dx=?

A: We evaluate given integral

Q: : Use the result of Example 3 to evaluate '피/2 dx 1 + sin x

A: To evaluate the integral ∫0π2dx1+sinx Solution: The given  integral is, ∫0π2dx1+sinx Multiplying…

Q: What is the range of the function y = sin-1x? Select one: 2' 2 (-플, 끌) 2' 2 O [-1, 1] O [0, 1] 프2 프2

A: Given function is y=sin-1x

Q: QUESTION 2 Find % for the equation y = cosh (2x)tanh x - %3D dx

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Q: If f(x) = 3 sin(4æ) arcsin(x), find f' (x).

A:

Q: 1) Completely integrate the following: f sin*(3x) dx

A: Let ,I=∫sin43xdxPut 3x=udifferentiate 3dx=dudx=du3I=∫sin4u13duTake the constant out:…

Q: Find of z = dxdy

A: Given : The equation is z = ln (x2 - y) .

Q: Jse graphs to evaluate sin x dx and coS x dx.

A:

Q: find J tan x dx A

A: Given: To find ∫03tan xdx

Q: 4. S3 3x2 arcsin(2x)dx

A:

Q: Differentiate the function. f(x) = In(256 sin2(x)) f '(x) =

A:

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.