Differentiate the given function: g(x) = sec¯ ec- (x²) ...

Q: f(x) = sec¬'(1+ x²)

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Q: y = sec? x tan x

A: Consider the given function: Here the objective is to find the derivative of a given function.

Q: Find the derivative of the function f(x)=arccsc(7x)

A:

Q: () Y = sec

A: Given the function

Q: Find the second derivative for the functions defined as follows.h(x) = x/ex

A: Given:             f(x)=xex

Q: 1/x using the definition o

A: we have to find the derivative of f(x) using the first principal. f(x)=x+1x

Q: Does the function cos x х f(x) = 0, x = 0 have a derivative at x = 0? Explain.

A:

Q: Consider the function f(x) whose second derivative is f”(x)=5x+2sin(x). If f(0)=4 and f’(0)=4, what…

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Q: Find y" by implicit differentiation. x² + 4y² = 4

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Q: B. By using the definition of the derivative, find the for: - dx f(x) = x -

A: Explanation of the answer is as follows

Q: Consider the function f(x)  whose second derivative is f"(x) = 10x+4sin(x) . If f(0)=2  and f'(0)=3…

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Q: Find the derivatives of the function f(x) from the first principle  sin2x

A: Answer and explanation is given below...

Q: Find the derivative of the function f (x) = sin°(x) (),

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Q: Using the definition of derivative, show that f'(2) = for f (x) = Vx+ 2.

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Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

A:

Q: Find the second derivative of the function.

A: Given: fx=sec x To Find: The second derivative of the given function

Q: Find the derivative of f(x) = arcsin 2

A:

Q: y = sec Differentiate the following function:

A: Given function, y=sece-x2

Q: 2. Use the definition of the derivative to find f'(x) and f"(x). a) f(x) = x? %3D

A:

Q: Consider the function f(x) whose second derivative is f''(x)=5x+3sin(x) If f(0)=2 and f'(0)=3 what…

A: Given : f''x = 5x + 3sinx

Q: Find the derivative of the function.

A: Given: g(x)=arcsin(3x)x

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + q

A:

Q: Find the derivative of the function. g(x) = (sech(8x)) g'(x) = %3D

A: take derivative

Q: Find all possible functions f with the given derivative.  f'(x)= ex

A: The given derivative function is,

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

Q: . Does the function cos x x + 0 f(x) = 0, x = 0 have a derivative at x = 0? Explain.

A: Consider the given function fx=1-cosxx        x is not equal to 0x=0

Q: Consider the function f(x) whose second derivative is f''(x)=9x+9sin(x). If f(0)=2 and f'(0)=3, what…

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Q: A) Consider the function f(x) whose second derivative is f"(x)=4x+3sin(x). If f(0)=4 and f'(0)=4,…

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Q: Find the derivatives of the function f(x) from the first principle x*+4

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Q: Consider the function f(x) whose second derivative is f''(x)=4x+3sin(x)   If f(0)=3  and f'(0)=2…

A: detailed solution with explanation is given below

Q: Compute the derivative.

A: Given function is Here, we use product rule of differentiation to find f'(x)

Q: Consider the function f(x) whose second derivative is f''(x)=8x+10sin(x). If f(0)=3 and f'(0)=2 what…

A: The function is f"x=8x+10sinx.   Integrate the function.…

Q: g(x)%3Dx sin(2*)

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Q: Find the derivative of the function f(x) v4-x by definition

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Q: Find the derivative of the function. f(x) 4. + 2cos x %3D

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Q: Consider the function f(x) whose second derivative is f''(x)=2x+3sin(x). If f(0)=2 and f'(0)=4, what…

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Q: Find the derivative of the function using the definition of derivative. 1 f(x) V5 + x

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Q: What is the derivative of f(x) sec(tanx)?

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Q: Find the second derivative of the function. f(x) = x x sin(x) %3D f "(x) - !!

A: Given:   fx=x sinx  To find: f"x=?

Q: Draw the function x = 2y-y2 by using the tools of derivatives?

A: The given function isx=2y-y2.

Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

Q: Find the derivative of the function f(x)=(x²+e* + sin x)*.

A:

Q: Find f (x) of f(x)= by using the definition of the x- derivative.

A: Definition of Derivative is given as

Q: B) Use the definition of differentiation to find the derivative of the function f(x) = 4- Vx + 3. Is…

A: Consider the function: fx=4-x+3 The definition of derivatives is given by the formulas,

Q: Differentiate the given by implicit differentiation x3 - xy + y3 =1

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Q: w(x) %3D хе*

A: To find the second derivative of function w(x)=xex

Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: Consider the function f(x) whose second derivative is f''(x)=2x+7sin(x). If f(0)=3 and f'(0)=3, what…

A: to find f'(x) integrate the given function c=integrating constant. Then plug x=0 and f'(0)=3 and…

Q: Consider the function f(x) whose second derivative is f''(x)=8x+8sin(x). If f(0)=4 and f'(0)=4, what…

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