Find the derivative y = (2 – x²) cos x + 2x · sinx 2 sin x – sin x (2 – x²) 2 cos x – sin x (2 – x²) 2 sin x - cos x (2 – x²) None of these

Q: Find the derivative of the function. Simplify where possible. y = (tan-'x)? y = tan-'(x²) y =…

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Q: Find the derivative of (b) f(x) = 2 tan-1(x) – 7x

A: Givenf(x)= 2 tan-1(x)-7x

Q: Find the derivative f(x)= (sin h^-1

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Q: Find the derivative of the function. f(x) = sin−1(6x)

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Q: Find the derivative of cos(xy^2) = -3y using implicit differentiation

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Q: 1-Vx Let f (x) = Which one is the derivative of f (x)? = COS 1+vx

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

Q: Find the derivative of the function. f(x) = sin(x) cos(5 – x²) f'(x) =

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Q: 9) Determine the third derivative with respect to x for y = In x 10) Given f(x) 2x + 1 and f(1) 4.…

A: Find the derivative

Q: Find the indicated derivative. Find y " if y = 8x sin x. Oy"= 8 cos x - 16x sin x y"= 16 cos x - 8x…

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Q: 4. Find the first derivative of the given function using the Rules of Differentiation: a. h(x) = X-…

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Q: find the derivative of the following functions: sin(x^(2)+2) (tan^(-1))(z^(1/2)) x^(sin(x)) find the…

A: find the derivative of the following functions:sin(x^(2)+2)(tan^(-1))(z^(1/2))x^(sin(x))find the…

Q: (b) Using implicit differentiation Find the derivative of 1. y³ + 3x²y = 13 with respect to x and…

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Q: (a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this…

A: (a) From sin2 x + cos2 x = 1, we have f(x) + g(x) = 1. Take the derivative of both sides of this…

Q: Find the derivative of the trigonometric function.

A: The given function is y=31-sinx2cosx

Q: (8) Find the derivative of the functions (i)h(x) = sin 2.x cos 2x (ii) f (x) = cos (tan 4.x) 1 =-…

A: We need to differentiate the given function. We will use different method of differentiation . ( As…

Q: Find the derivative of the trigonometric function. y = 3x cos(x) + x6 sin(x)

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Q: Find (i) the first derivative of f(x) = 3 x³. Inx + 5 e*. sin-1x + tan-1(4x) (ii) the second…

A: To find the following parts,

Q: 12. The derivative of cos(1 – x) with respect to x is ;A. - sin(1 – x) B sin(1 – x) C -(1– x) sin(1–…

A: Given that: Let f(x)=cos(1-x)

Q: A function is given as x’ – 6y =5-x. Calculate the derivative of y with respect to x with two…

A: i) x5-6y=5-x6y=x5+x-5y=x5+x-56

Q: The third derivative of y = sin is 1 -sin b) y" = --cos 1 а) у 8. 2 2 c) y" =-8sin d) y" = -8 cos

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Q: The derivative of the function y = ecos²(x) is: y' = - sin(2x)eCos² (x) y' = sin(2x)eCos²(x) the…

A: We will find the derivatives of the given function y=ecos2x in the following step.

Q: Find the first derivative of y = cos4 x – sin4 x and y = x3   –  x2 cos x  +  2x sin x  + 2 cos x…

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Q: f(x) = -3 sin(x) cos(x)

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Q: C. Find the derivative of each function. x' - 2x 3. h(x) = 4. F(x)=sin x- cos x- tan x tan x D.…

A: Follow next step

Q: 1-cos 4x Find the derivative of y sin 4x

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Q: Let f (x) =x. cos(x2). what is the correct result of the derivative of f with respect to x? A…

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Q: 4. Find the derivative of the following function. 1+ sinx g(x) = - V1+ cos x

A: Given: gx=1+sinx1+cosx for finding derivative of given function, first we simplify given expression…

Q: y = 3x sin-(x²) + In(1 + 2x). Find y' using derivative rules

A: The given function is as -y = 3xsin-1(x2) + ln(1+2x)Differentiating on both sides with respect to…

Q: -cos^3(x^3)=-3y^2 Find the derivative

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Q: Find the first derivative of the following function: 1. y = sin (2x) - cos (2x)

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Q: 3. Give the definition of a derivative of a function f of one variable at a point xo. /2 Find the…

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Q: Find the derivative of the function y = cot^-1 x2 – cos^-1 x + 1/x – 2 %3D

A: To find the derivative of: y=cot-1(2x)-cos-1x+1x-2...(1) Note that:…

Q: 7. Find the second derivative given g(x) = sin x² A. 2(cos x? – x sin x?) B. 2(cos x? – 2x² sin x²)…

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Q: Find the function f(x) whose derivatives is sin x and whose graph passes through the point (0,2). O…

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Q: The derivative of the function y = x(tan-'(3x))² is: y' tan (3x) 6x + (1+9x²) tan-³(3x)] tan…

A: y = x(tan-(3x))2 dy/dx = (dx/dx)(tan-(3x))2 + x(2(tan-(3x))(3))/((3x)2 +1) dy/dx = tan-(3x))2 +…

Q: Q1/ Choose the appropriate function for this derivative sin x cos x V1+ cosx 2/1+ cos x

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

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Q: How to find the anti derivative of sin(x)/cos^3(x)

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Q: 3. Find the derivative of (a) f(x) = (x + 2 sin x) (1 – 6 cos x), and (b) g(x) = sin x/ 7x

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Q: Find all x values on the graph of f(x) = - 3 sin x cos x where the tangent line is horizontal.

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Q: 1+sin 2 x Find the derivative of f(x) 2 cos3 x

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Q: Let the function y(x) be given implicitly via the equation xy – In y = 2. Determine the value of its…

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Q: 1+sin 2x 1) Find the derivative of f(x) = 2 cos x

A: To find The derivative of given f(x)

Q: |sin x.cos x %3D 1+ 2.ln x

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Q: Solve for the derivative of the Trigonometric Differentiation. 1. y = sin (5x) + 3x cos (5x) 2. y…

A: given y=sin5x+3cos5xdiffrentiate w.r.t. xdydx=ddxsin5x+3cos5xdydx=ddx(sin5x)+ddx(3cos5x)we know that…

Q: 4. The derivative of f(x) = ln x at x = 3 when hpresent = 0.001 and hprevious = 0.002. %3D 5. The…

A: f(x)=ln…

Q: What is the derivative of f(x)=−3cos(x)+4sin(x) at the point x=π/3? Enter an exact answer.

A: Given,  f(x)=−3cos(x)+4sin(x)   We have to find the derivative of fx  at  x = π3

Q: The derivative of a function intervals is decreasing ? is given by f’ (x)=e^ sin x -cos x-1 for 0 <…

A: topic - decreasing intervals of a function f is decreasing on intervals where f'(x) is negative

Q: Find the indicated derivative. Find y " if y = 5x sin x. O y" = - 5x sin x y"= - 10 cos x+ 5x sin x…

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Q: Q. 2. a) Find nth order derivative of f(x) = In(2x-7). b) Find 3rd order derivative of y with…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…