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

Q: Find the derivative of f(x) = COS 4 log3 (x²) os(5x)

A: Explanation of the answer is as follows

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: Find the derivative of fl6)-32" ). (v²+5) tan (5x

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Q: 3x-4 1. y = Arctan

A:

Q: Find the derivative of function.

A: The given function is f(x) = ln(xex+2).We have to find the derivative of this function with respect…

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

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Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

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Q: if u:X- COSX and V=X+ Cosx find the derivative du

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Q: Find the derivative of the function. y = −6 sin 3x4

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Q: Find the derivative of the function f(x) = tanh(4x2 + 3x)

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Q: By the chain rule, the derivative of arctan (4x^5) is:

A:

Q: What is the derivative of y=cos3(5x)

A: To find the derivative of: y=cos3(5x) For that use chain rule and ddx(xn)=nxn-1ddx(cos x)=-sin x

Q: What is the derivative of y = sin(3x²) cos(3x²)

A: We have to find the derivative of given function.

Q: Find the derivative of f(x)=[sin(3x)]^3

A:

Q: 2) Find the derivative of the function f(x) = (x³ – tan(4x² – 2)* |

A: Given :            To find the derivative of the given function                f(x) = x3 -…

Q: If C(x)=x' + x°, evaluate the fourth derivative at x = 2. %3D

A: To find the fourth derivative of the function: C(x)=x5+x-3 at x=2

Q: Find the second derivative of f(x) * f(x) = cos² 7x

A: The given function is: fx=cos27x   As we know that; The Chain Rule: fgx'=f'gx·g'x The Product Rule:…

Q: Find the derivative of y = 3x2 sin x.

A: Given: y=3x2sinx for finding derivative of given expression we will use product rule given below…

Q: Find the First Derivative of the Given Function: 2.) x=sec53t

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Q: if u=X- CoSX and V=X+ CosX find the derivative du

A: We have to use properties of derivative.

Q: Find the derivative of the function. Simplify wherepossible.   y= Sin-1(2x + 1)

A: To find: Derivative of sin-1(2x+1)

Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

Q: what is the derivative of this question with solution y= csc (4x² ) Arccsc (4x² )

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Q: (1+x²-1) y = tan²¹ / √₁+x²

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Q: В. f(x) = (sin ebx³ ). 3 |cot(26x) x4 -

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Q: In(3x) Find the derivative with respect to x of y 3x

A: We will use the quotient rule of differentiation to find the derivative of y. Chain rule of…

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation Sin(x+y)=xy, What is…

A: To find the derivative of y with respect to x

Q: Find the derivative of the function. y = 2 sin4(4x2)

A: y = 2 sin4(4x2) dy/dx = ?   Useful formulas:ddx xn = nxn-1ddxsin(x) = cosx

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: Find the derivative of flx) = x 1x \ - Does plo) exist

A:

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

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

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Q: ,2, (x²–1)* Dx (1+8x)5

A: To Determine: find the derivative using chain rule  Given: we have y=x2-141+8x5 Explanation: we have…

Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

Q: If fox) is odd function , then the derivative of y =coshf(-x)) equals

A: here option B is true

Q: find the derivative by using the definition of a deriviative.f(x)= 1/3x+2

A: according to definition of derivative we will evaluate the derivative of f(x)

Q: Find the indicated derivative. dz x2 for z = x2 - dx 1- x - 5x2

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Q: Find the derivative of flx)=Sin(7x'+91Cos(3x?)

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Q: Which is the derivative of y= sin (x2-2x + 1)? О 2х-2) (2x-2)Cos(x²-2x + 1) O Option 2

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Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: 2. Find the derivative of y = (5x³ + 2 x)tanx. %3D

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Q: find the derivative of f(x)=(x^4+3x^2+8)cos

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Q: If ƒ(x) = xn, n ≥ 1, show from the definition of the derivative that ƒ'(0) = 0.

A: Now the derivative of a function f at a point 'a' is given by,

Q: What is the derivative of cy = 2 - a°y ?

A:

Q: Find the derivative of the function. X +8x + 3 y3D VX

A: Here we use the quotient rule of differentiation ddxuv =vdudx-udvdxv2

Q: calculate the derivative with respect to x. 3y3 + x2 = 5

A:

Q: Find the derivative of the function f(x) = 6x2 - 6 cosx

A: the given function f(x)=6x2-6 cos x

Q: Find the derivative of V(x) = ln(sin x) – (x4 – 3x)10

A: We can find the derivative as below.