dy Find for the following function. xp y = 6 sin x + 2 cos x

Q: If y=sin²r+ tant, x=- In(-cost) – e sinr, find the value of y' when = 6 2+ Vze VE 2/3 V2-e ? 2-Vze 2

A:

Q: Differentiate the following functions with respect to ?; (i) ?= 4x^2 + 5?^3 (ii) ?= ?^2 + cos ?…

A: we have to differentiate all given problem with respect to 'x' (i) Given, y=4x2+5x3 differentiate…

Q: Given f(x,y) = 4x sin(5xy). Find fy(4,5). Give you answer correct to two decimal places. Answer:

A: The objective is to find the above partial derivative at the point (4, 5).

Q: Find y" for the following function. y = 5 sin x cos x y" =|

A: We will find y'' as following.

Q: dy Find y or for the following: 2x y - 10 = x* + cos y dx

A: We have to find the dy dx

Q: Which of the following functions does not have the property that f(x) = f(4(x) ? A flx) = cosx B…

A:

Q: dy A5) Find dx of the following functions. (a) у %3D sec(5a?), (b)y = sin5x + cos8x (c) y = cot¯(V5…

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Q: Find and for the following function. ôx ду x' sin(y')+ xe* - cos(=²)=3y-6z +8

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Q: dy for each function below. dr 1. Determine (a) y = 3x COSI COS I %3D (b) у — sin r +1

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Q: Find y" for the following function. y = 4 cos x sin x y" = У'-‑

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Q: Find for the following function. xp y= 3x cos x sin x dx

A: Given the functiony=3x2cosxsinx

Q: Find dyldx for the following functions at x=pi/4 : y= In(Cosx) -1 O 2 -2

A:

Q: 2n Consider the function y = 4 sin (x+)- 1. Wha 1. What is the period of the function?

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Q: Q: Find for the following functions: - (answer two only) 1) y = (cos x)Vã 2) y = sin x* + e!nx

A: The given functions are  1) y =  (cosx)sqrt(x) 2) y = sinxx + eln x 3) y = 7cos[sqrt(2x +3)] As in…

Q: Find the domain and range of each fuction f(x)=V sin x– cos x -

A: f(x) =sinx-cosx The number inside the radical must be greater than or equal to 0.    sinx-cosx≥0…

Q: dy Find for the following function. y = 19 cos x sin x dy %3D

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Q: Find the function ƒ with the following properties. ƒ'(x) = sin t + 2t; ƒ(0) = 5

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Q: Find if dy y = e2 sin x Choose the correct answer.

A:

Q: Given f(x,y) = 4x sin(5xy). Find fyy(4,5). Give you answer correct to two decimal places. Answer:

A:

Q: Find f'(0) if the function y = f(x) is given implicitly by the equation sin(x)+ xy? +2y = 2x +1.

A:

Q: Q1: find dx of the following statement: a) y = cos? sec

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Q: dy Find if the function is given in implicit form: dx y? – x2 – cosxy = 0;

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Q: Find d?y/dx2 for the following functions: a) y = sin x2 cos 2x b) y = cos*(sec² 3x) c) y = x2(x³ –…

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Q: d'y Find- for the following function. y = 8x sin (x)

A:

Q: dy dx Q5: Find for the following functions: (2) y = tan³√√cot(7x);

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Q: t/2 Find the value of sin(2x) sin(x) dx.

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Q: Solve the following D.F using I.F Sinx dy/dx +2y=tan^3 x/2

A:

Q: Find of the following functions. [ dr (a) y = sec(7?) (b)y = sin7x + cos5a

A: here we can find the derivative as below.

Q: Plot the following function y=cos((2n/5)-x)

A:

Q: HW / Draw the following functions: (1) y=sinx+1 (2) y = sin 2x (3) y = |cos x (4) y= cosx? (5) y =…

A: our  objective is to draw the graphs.

Q: Find dx for the following function. 8 cos x y = 9-7 cos x xp

A:

Q: dy A5) Find dr of the following functions. (a) y = sec(4x²) (b)y = sin4x + cos4x (c) y = cot¯(v4 –…

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Q: Find y' for the function as shows below.   cos(xy)=x6-y

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Q: For each of the following functions, find ∂z/∂x and ∂z/∂y. (c) z = sin 3x cos 4y

A: Given a function : z=sin3x cos4y We need to find the partial fractions : ∂z∂x and∂z∂y Let's find…

Q: If y=sin?t+ tant, x=- – In(- cost) – e sinr, find the value of y' whent=". 4 6 2 2- Vze ? 2/3 V2-e ?…

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Q: HW/Draw the following functions: (1) y= sinx+1 (2) y = sin 2x (3) y = cos x (4) y=cosx² (5) y= cos?…

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Q: A) Find for the following functions: ! = x³y? + cos-'(y)

A: Derivative of a function represents the change in variable with respect to change in another…

Q: a)- Find for, (x+ y)* = tan-14x + + Inlny !! dx

A:

Q: Evaluate the following: 1) f sin x sin(cos x) dx

A: Integration

Q: Q 11: Evaluate f sin cos dx

A: We will evaluate the integral with the help of substitution rule.

Q: Find for the following function. 2- cosx y = 6+ cosx dx

A: detailed solution is given below

Q: Find of the following functions. Do not simplify. dy da (a) y = x³ cos(Tx) (b) у (3x–10)² sin(x) Y =…

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Q: Find for the following function. xp 2x sin x 3+ coS X

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Q: For cos x– sin y= , find the value of k so that ky"= – 1 at y=- 2 2 4 2

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Q: dy of the following functions. dr A5) Find (a) y = sec(4x², (b)y = sin4x + cos3r (c) y = cot (v4 –…

A:

Q: dy A5) Find of the following functions dr (a) y = sec(52²) (b)y = sin5x + cos4x (c) y = cot (v5 – 2)

A: Using chain rule of differentiation.

Q: H.W Find y' for y = ecosx tan- (5x) * (5x² + 1)? COS

A: Given,           y=ecosx*tan-15x*5x2+1

Q: Q4/ a2w a2w Find and where w = sin(xy) cec(cos(x+y)) дх ду ду дх

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Q: Find dy/dr for the following function y = cot-1 (x + sin? (5*))

A:

Q: Write Vx+36 as a function of 0, where 0<0<-, by making the substitution x=6 tan 0. %3D x+363D sin O…

A: Using trigonometric identities :    1 + tan2  x = sec2 x

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.