tion f(x)=

Q: Find the general solution of f′(x) = −2x sin x2 .

A:

Q: In the given question as follows/, find the second derivative of the function.   f (x) = (3 +…

A: f(x)=(3+2x)e-3x

Q: sec (In x)dx

A:

Q: find the n-th derivative of f(x). f(x)=e^-2x

A: Given function is fx=e-2x. Chain rule of differentiation states that: ddxfgx=f'gxg'x Now, we find…

Q: ex = cosy

A:

Q: Solve using implicit differentiation.  e^3x/ e^2y = sin y

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Q: Compute the indicated derivative. d + 7x)(x2. dx x = 2

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Q: Use the Power Rule to compute the derivative.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (2…

A: Given function is   Differentiating both sides with respect to x, we get

Q: S cos³ x sinxdx

A:

Q: [4] Solve for x in the equation: arctan(x+1)+arctan(x-1)=arctan(12)

A: Topic = inverse Trigonometric ratios  solution of eqution x=43

Q: y = 2.16eSin(2x)

A: SOLUTION-

Q: Find the equation of the secant line for f(x) = log2 (3x² + 2x – 1) from x = 1 to x = 3.

A:

Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: Find the first Derivative complete solution. r= (3cot42θ-4)2/3

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Q: Find the first derivative of the function g(x) = V5 +x +4cos (2x).

A: The function f(x) is a rule that associates or fixes a number to the particular point x. If y=f(x),…

Q: 3) Solve the equation sin(x) = ln(x) x1 = f(x) = f'(x) = X≈

A:

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Use the basic definition of Cosh to find the derivative of the function, Coshx=ex+e-x2. Find the…

Q: The first derivative of the given function is 3 poi y = In(1 – 2x)³(2x + 1)² 10x+1 2x+2 1-4x2 1-4x2…

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Q: x²Sin(x) y = In 2x + 1 9.

A:

Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

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Q: (Vian tan³ x + 1) sec" x dx

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Q: Find the first derivative of the following implicit function. x3 + y3 + 3 xy2 = 8

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Q: Find the First derivative: Complete Solution for this:  1.) r= (3cot42θ-4)2/3

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Q: Find /e2x sin(2x)dx

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Q: y = √√2x + 7

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Q: Find the second derivative of the function. f(x) = (3 + 2x)e−3x

A: Given:The given function is f(x)=(3+2x)e-3xTo find:The second derivative of function f(x)

Q: h(x) = e(-1/2)x

A:

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y =…

A: given y=cos9θ+41

Q: Find the derivative of the function.s(x) = e3x − 1/x3 − 1

A: The given function is

Q: 5. y = x3 – x²Cos(x)+ 2xSin(x) + 2Cos(x) -

A:

Q: The derivative of f(x) = 2 cos 2x is an odd function.

A: Odd function

Q: f. y=In(x8+1)

A: We will solve the problem

Q: (5z + 8)ª Find the derivative of In 16 + 10

A: Given: To find: The derivative of the given function.

Q: 6. Find the derivative for each function. b. f(x) In 5x3 2)3 f(x) (e*3 2) а.

A: Use exponent rule for exponent 3 and use chain rule for (e^x^3 +2)

Q: S(sec x tan x + 10xº)dx %3|

A:

Q: 4 f (x) = 3 (In (9x² + 7(log5(+Vx*

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Q: F(x)=In(52x+n • (x+2) ) %3D

A: Find the derivative of the function

Q: (a) Find the derivative of cos(1+x²).

A:

Q: 8. y = In (x³ + 3x – 4)

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Q: 1. y, x= 1+ 1+y

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Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

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Q: 4. xy = COS (²) + +1

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Q: 3. y²(x + 2y) = 8

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

Q: Find the first derivative of g(x) if g(x) = e²* In(2x) %3D

A:

Q: 2. Find the first derivative of the following expression: f(x) = (x2 + 1)sin a

A: take derivative  use the exponent rule

Q: 6x 2) = 4 y7

A: 2) Given- 6xy7=4 To find- The derivative of the above expression using implict differentiation.

Q: find the implicit formula of sinxy=x+y

A: Given,

Q: What is the first derivative of p(x)=6e^−8x

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Q: Find an expression for the nth derivative of f(x) = xe² by computing the first few derivatives,…

A: