16. r(0) = sec 0 tan 0 – 2eº -

Q: Q2/ A/ Show that the functions f(x) = sin-1() and g(x) = 2tan-Vx, have the same derivative. %3D

A: Given : f(x)= sin-1 ( x-1 / x+1 ) g(x) = 2 tan-1 (√x)

Q: 5. Why does it make graphical sense that the derivative of aconstant is zero? That the derivative of…

A: Derivative of a function is a slope of function on given point, or derivative is a rate of change of…

Q: The derivative of f(r, y) at P(1,2) in th in the direction of-2j is -3. Then the of -i - 2j is

A: It is given that the directional derivative of f(x,y)  at P0(1,2) in the direction of (i+j) is = 22…

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

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Q: Find the derivative of f(2) = sinh(2²) – 2z cos(32). Is this an analytic functio %3D

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Q: Consider the function f(r) whose second derivative is f(z)- 8z+10 sin(r). If/@)- 4 and f'0)-4, what…

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Q: Find the derivative of the following. y = -1/3tan3 x - sin2(2x)/tan x - cos2(2x) cot x +4

A: Differentiation of the function can be found with the help of the differentiation formula.…

Q: Find the fourth derivative of f (z) = 37 + In(z) – 164z. Enclose arguments of functions in…

A: To Determine: find the fourth derivative of the function .  Given: we have a function…

Q: Find the derivative of fG Cos' (3x²) 2. %3D

A: Consider the given function:…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. G(x) =…

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Q: Consider the following funciton. f(x)=|x-2| Find the derivative from the left at x=2. Find the…

A: A funciton f(x)=|x-2| derivative from the left at x=2. ?  derivative from the right at x=2. ?  Is…

Q: Find the derivative of the function. f(x): f(x) = 2xarccos(x) – 2/1 – x² 2arccos(x) + 2 2arc cos (x)…

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Q: Calculate up to 2nd derivative the equation g(x) = -8sin (*+1) %3D

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Q: what is the derivative of arctan(u/1+4u)

A: To determine the first order derivative of the provided function.

Q: Find the derivative of y with respect to x for y= ( cos 7x) ot /X Choose the correct derivative of y…

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Q: Construct a cubic spline that interpolates sin x at nodes 0, T/2, T, 37/2, 27 (use the true…

A: The given function is fx=sinx and the given node points are x=0,π2,π,3π2,2π. Therefore the given…

Q: Find the derivative of the function f(x) = at sin(7x + 14) + In(2r+10)

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Q: Find the derivative of the function. f(x) %3D еx sec(9x) cos (9x) · e* + 7e* · sin(9x) f'(x) C cos…

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Q: Determine the derivative of y=tan(cos-(4x)). -1 A y'=. 4XV1- 16x2 None of the given choices -1 y's…

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Q: 1. cos(xy) + secy = 5

A: Differentiation is the process of determining the derivative also known as the derived function. one…

Q: find the derivative of the funtions: 1. sin (√x Inx) 2. (d2/dx2)(xArctanx)

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Q: Find the Equation of tangent line of the function f(x) = 1+ csc(x) – cos(x) 2n 4+v3 3' 23 At the…

A: Answer

Q: Find the derivatives of the functions in Exercis

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Q: By using caushy Rieman find the derivative of f(z) =lz| if it exit O fiz) = 2 +121 (3)

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Q: b) Use the definition of the derivative to compute f'(x) for 1)f(x) = 2v-5x + 9, 2)f(x) = x sin 3x…

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Q: Find the derivative of the function using the Power Rule for Functions. y = (x² + 6)²(4x³ – 1)3 dy…

A: Y'= ?

Q: Find the derivative of the given function: 1. y = --cot3(2x) + cot(2x) + 2x 3 secx 2. у %3D 1+tanx…

A: We have to find derivative Cot x = -cosec² x  Tan x = sec² x Cosec x = -cosec x cot x

Q: Find the derivative of the function: f(x) = [sin(4x + x)] [cos(x4 + 4)] f(x) = e3x²+*(cscx + secx)2…

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Q: 11. Sds 3 ex+2 cos x-sin x 12. S -dx cos2 x

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Q: Compute the second derivative of sin(g(x)) at x = 2, assuming that g(2) = 4, 8'(2) = 5, and g"(2) =…

A: Given: The function singx with g2=π4, g'2=5, and g''2=3, To find: The second derivative of given…

Q: (A) Find the first derivative of the following function: 1+ cos2x f(x) = %3D 1- cos2x |

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Q: Find the derivative using the long method 3 u = t2

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Q: Find the first derivative of the followin the result whenever possible. V4 – x² 1.y = x arcsin=-

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the derivative of h(x) = cos (2x3 - 5). %3D Provide your answer below: W(x)= O %3D

A: We will find the derivative of h(x) in the following step.

Q: Find the derivative and simplify A. f(x) = 2 sin−1(4x + 5) B. f(x) = x3tan−1(x2)

A: Given:- A.   f(x) = 2 sin-1 (4x + 5)   B.    f(x) = x3 tan-1 (x2)  To find :- Derivative of given…

Q: Find the derivative dydx of the lemniscate of Bernoulli given by the equationr2=cos2θ.

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Q: Find the derivative of the following function 1 F(x) ds Va 5+7s4 using the appropriate form of the…

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Q: Find derivative of each; A) m(t)= In(4t^3+tan(5t)) B) h(x)= 4sin^8(5x+1)

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Q: f(x)%3D (6- x²)3 — х? %3D

A: DIFFERENTIATION OR DERIVATIVE The differentiation is a process of finding the rate of change of one…

Q: Find the fourth derivative of f (z) = 3* + In (z) – 191z. Enclose arguments of functions in…

A: To find :  Fourth derivative of function ,  f(x)=3x+lnx-191x

Q: Find the fourth derivative of f (z) = 57 + In (z) – 109z. Enclose arguments of functions in…

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Q: Find the derivative of f(x) = 3r sin(-)(x) – In(r² – 1) + 8² – 5 cosh(x)

A: Find the derivative of function

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: /1 – ť dt dx cos X

A: This is a basic calculus question

Q: Find the derivative of the fünction. y = 7(6 - x2)6 %3D

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Q: Find all possible functions with the given derivative. 1. If y 1, then y %3D 2. If y = a, then y 3.…

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Q: Find the derivative using the First Fundamental Theorem of Calculus. 13)음 V8t +7 dt dx

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Q: Show two differènt ways to find the derivative of the function f (x) = In( and verify that the…

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