y = a Cos- -1(1-2) + v2ах - х + V2ах — х2

Q: Find the derivative of the function. f(0) = cos(0²)

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Q: Find the value of the derivative of (z – 4i)8 at z = 3 + 4i |

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Q: Find the derivative of g(x) = (cos(8x))3

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Q: Find the derivatives of the functions

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Q: d 5x+3 4. dx 7x+2

A: As we know that; The Power law: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 And c·f'=c·f' ; where…

Q: Find the derivatives of the function defined as follows. y = -6x4 sin 6x

A: Given equation - y =-6x4sin6x                    .................(1)Differentiating on both sides…

Q: Find the derivative of the function.

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Q: 2. x² + 4xy + y² = 1

A: Differentiation

Q: Find the derivatives of x=sin h2y

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Q: Use the rules of differentiation to find the derivative of the function. y = sin(0) -11 2.2.025.

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Q: Find the implicit differentiation by using Total Derivatives a function, x³ cos(2y) – 3x4 + 2e³y

A: Given problem:- Find the implicit differentiation by using Total Derivatives a function,   x3…

Q: 5. y = (x+7)(5x- 2)

A: Given : y=(x+7)(5x-2)   To Find : Derivative of the given function.

Q: Use the first principles to find the derivative of cos(x -4x).

A: By the first principle  f'(x)=limh→0f(x+h)-f(x)h. So, dcosx2-4xdx=limh→0cosx+h2-4x+h-cosx2-4xh…

Q: Use the rules of differentiation to find the derivative of the fur f(t) = -2t2 - 4t - 5 f '(t) =

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Q: Use the rules of differentiation to find the derivative of the function. y = - cos(0) 8 y' =

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Q: COS 2. %3COS

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Q: Use the rules of differentiation to find the derivative of the function

A: First note the following rule of differentiation (f(x)+g(x))'=f'(x)+g'(x). Another rule that will be…

Q: Find the derivatives of the functions r = sin√2θ

A: According to the question, we have to find the derivative of the expression, r=sin2θ. The derivative…

Q: Use the rules of differentiation to find the derivative of the function.

A: Given: y=π2sin θ

Q: Using implicit differentiation, for the equation z5+y = 12 is .

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Q: Find the derivative of cos (ry) = -4x° y? + 5 using implicit differentiation.

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Q: Find the derivative of the function R = sin(7t

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Q: d,x+7 3. dx 2x-3

A: To find: ddxx+72x-3

Q: Q2) Apply the differentiation rules to find the derivatives of: Inx 5 (a) y=x*.e*+2- Inx- cosx (b)…

A: Solve the following

Q: Q4 Use implicit differentiation to find an equation of the tangent line to the following curve at…

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Q: 7. Use implicit differentiation to find an equation for the line tangent to the curve 2² + 2xy – y³…

A: Given :           x2+2xy-y3=0

Q: Use the rules of differentiation to find the derivative of the function. у 3 cos(0) - 6 y' =

A: We can move out the constant out of the derivative

Q: Find the derivative of the given function f(0) = sin' 0 3

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Q: Use the rules of differentiation to find the derivative of the function. 6 + 7 sin(x) (3x)3 У'%3

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Q: Using implicit differentiation, for the equation z5+y = 12 is

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Q: 5. y³ = 4(y + x²)

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Q: tan (2x) 3. y = sin (5x–1)

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Q: Determine the following using the equation 2xy3- 4x3/2 +2 = 0 a) Use implicit differentiation to…

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Q: Find the derivative of the function. f(x) = sin (4x) %3D

A: To find the derivative of the function.fx=sin-14x

Q: f(x) = 2 cos I - 3:

A: Of a function y = f(x) of a variable x is a measure of the rate at which the value y of the function…

Q: Find the derivative of the function. Simplify where possible. y   = Cos-1(Sin-1t)

A: y=cos-1sin-1t

Q: b) Use implicit differentiation to find for the equation yz? -e** cos (4zx)–3y² =4. F. DO NOT use…

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Q: Use the rules of differentiation to find the derivative of the function. TT :는 cos(8) 5. y =

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Q: -6-X 1.) y = cos -6.x3 y =

A: We have to find the derivative of the function: y=cos-1 -6x3 We know the formula of derivatives,…

Q: 3. y²(x + 2y) = 8

A: The Solution is dydx=-y2(x+3y)

Q: Find the derivatives of the functions y = x-2 sin2 (x3)

A: We have to find derivatives of the functions: y=x-2 sin 2x3 We know formula of differentiation,…

Q: 5Vx-2 cos x-e 13. P(x) %3D 3x-4 In x

A: Given- Px=5x3-2cosx-ex3x-4lnx To find- The derivative of the above function. Identity Used-…

Q: Use the rules of differentiation to find the derivative of the function.                        y =…

A: Given:  y=x2-12 cos x…

Q: Find the derivatives of the functions y = x2 sin2 (2x2)

A: Given that : The function is y = x2 sin2 ( 2x2 ) .

Q: 5. k(x) = (-2x2- 2x+ 1)Vx %3D

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Q: f(t) = sin²(e in²s) %3D

A: Given : ft = sin2esin2t

Q: Find the derivative of the function f(x) = x sin(6x + 14)+ In(5z+9) Answer:

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Q: Find the derivative of the fx and evaluate the derivative at the given value of a. f(x)=(sin…

A: Given that, f(x) = (sinx) ln(10x) a = π2 We have to find the derivative of f(x) at point a.

Q: Use the rules of differentiation to find the derivative of the function                     g( ) = 4…

A: g(x) = 4cosx +6 dg(x)dx = d(4cosx+6)dx             = d(4cosx)dx + d6dx…