If f(x) =sin x son 2x sin 3x find f''(x)

Q: Find the derivative of f(x) = sin x²+ cos x if f'(2)

A: Given function is fx=sinx2+cosx. It is differentiated as follows by using the sum rule of…

Q: (5x) S sin(x) tan(x) .........

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Q: if f(x)=ln(1+cosx) then find f`(x)

A: f'(x)=(1+cos(x))'/(1+cos(x))      =-sin(x)/(1+cos(x))

Q: find f'(x) if f(x) = tanh(ln x) +sin2(2x)

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Q: What is the derivative of (3x^2tanh(sin4x))

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Q: Find the first derivative of  y = (x – 1) √ (2x – x2)   + arcsin (x – 1), and y = arctan [ (3 sin x)…

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Q: Find the derivative of f(x)=sin sin(5x

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Q: 2 Find the derivative of: – 8 sin (3x°).

A: The chain rule of derivative states that ddx(f(g(x)))=f'(g(x))g'(x). The power rule of derivative…

Q: sin

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Q: 1) Find 4 by implicit differentiation given 4 cos x sin y = 1. dx

A: Differentiate above equation with respect to x.

Q: Find the function who’s derivative is dy/dx = tan(x)sec(x) - 9x^2

A: Given: dydx=tanxsecx-9x2   As we know that; The Power Rule: ∫xndx=xn+1n+1+C And the common integral.…

Q: Find the derivative of 5x^2sin(x)tan(x)

A: Given expression 5x2Sin(x)tan(x). We need to find the derivative of it with respect to x.We use the…

Q: 3. Find the derivative of f (x) = 2x²e² tan x.

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Q: 11 In(x)sin (x²). Find the first derivative of g(x) (x),6

A: As we know that: The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x The Power law:…

Q: Find anti-derivative if possible of: sqrt(tan(x))  dx

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Q: 을 [ ] d dx tan-1(x)| 1+x?

A: To find derivative of arc(tanx) , we have to use some trigonometric identities and basic inverse…

Q: if the derivative of x2sinx+2xcosx-sinx  is (Ax2+B)(cos(C(x/2))). FInd the value of A, B, and C.

A: Given: x2sinx+2xcosx-sinx Differentiate the equation.…

Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: Find the derivative f(x) = [sin(4* + x)][cos(x* + 4) %3D

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Q: What is the derivative of ln(sin x + cos x)

A: Consider the given function:

Q: Evaluate: S Arctan 2 sin²x dx . Arctan 1 cos+x

A: Given,  ∫Arctan1Arctan2sin2xcos4xdx

Q: Find the derivative of f(x) with respect to x ( 2. f(x) = x² sinx + 2x cos x - 2 sin x

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Q: Find the derivative of (sinx)2(sin-1x)2

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Q: find integral sin 5 x  cos 2  x dx

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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: g(x) = cos ¹x+ 1-x

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Q: Determine the first derivative of the ff. function y = 400(2)*+3 sin 3x

A: Given: y=4002x+3 sin 3x To Find: First derivative of the given function

Q: 3- - 플 플 sin²cyl y จน

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Q: Find the derivative 1. h(x) = cos3(tan2x) 2. h(x) = x5 sec(1/x)

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Q: sinx In (2) co cos x

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Q: Find the derivative of f(x)=(−x^3−6x^2−6x)sin(x).

A: See the attachment

Q: Find:  ∫cosh^4 (x) sinh^5 (x) dx.

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Q: what is the first derivative of cosx^2(x^2+2)

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Q: find the first derivative of the function. F(x)= (1+sin2x/1-sin2x)^3

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Q: Find the possible values of cosh x that satisfies sinh²x – 3 cosh x + 3 = 0

A: We use the following identity to solve question 1). cosh2x - sinh2x = 1

Q: Va2-x² Y=Arc sin + a

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Q: 4. Use implicit differentiation to find az in xexyz sin(2z) – xyz = 5. ду

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: limit x to 0 3x-3xcox/sin^2(3x)

A: Here given limit as Use the L'hospital rule which states

Q: Evaluate sin (4x) cos -2(4x) dx. | sin (4x) cos -2(4x) dx = O

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Q: If f(x) = sinx + cosx sinx - cosx 2 show that f'(x) = sin 2x – 1

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Q: f(x) = 3 sin 1 (x²)

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Q: Find the derivative of: sin sin(2x) sin sin(x) + cos (2x) cos(x) ans: -sinx solution?

A: We will use the formula cosA*cosB+sinA*sinB= cos(A-B) , with A=2x and B=x and simplify.

Q: Solve for derivative. y = (x + cos x) ( 1 - sin x)

A: Given          y = (x + cos x) ( 1 - sin x)

Q: Find the derivative of each function 2 sin x 5x3 1. h(x) = In x -3e* h(x) = 2 cos x g(x) : 1+7x

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Q: Find the derivative  f(x) = cos-1(3x) sin-1(3x)

A: To differentiate the function with respect to x.

Q: Find the derivative. Simplify completely. 1. f(x) = 4x³ cos x 2. g(x): Sx-4 In x 3. у sin x 4. f(x)…

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

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Q: Evaluate ax xm-1 sin bx dx in terms of Gamma function. -ax

A: We use the special results of Gamma function to solve this problem as in next step.

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. If y = x cos x determine the 5th derivative. [y6) = (60x – x³) sin x+ (15x? – 60) cos x] |

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