d dx? Explain your answer. If f is a continuous function, what is the value of dx

Q: p>Find the second derivative of f (x)= x*e" . a a |a| sin (a) f" (x) =

A: Let f(x) = x4ex Taking derivative from both sides, To find first derivative, need to use product…

Q: ii. find the equation of the tangent line to f at x = a. (a) f(x)=3-4x, a=2. (b) ƒ(x)=x² +x, a = 2.

A: We have to determine the equation of tangent line

Q: et Consider the function f(x) Compute the derivative of this function. %3D 5+ er

A:

Q: Find the derivative of the function. {z) = e?/(z - 5) f'(z) = Need Help? Read It

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Q: Let y = (): Identify the value of d'y from the following: dx? x+1 2(1+2x) (x+1)* 2(1–2æ) (x+1)*…

A:

Q: What is the derivative of d(z) = cosh (csc z)? O A. d'(x) = csc x O B. d'(x) = - csc x OC. d'(x) = O…

A:

Q: What is the range of the tangent function y=tan(x)? A R B [- 1, 1 [0, + ) D (- 00, 1]U[1,+ ∞)

A: Tanx is the ratio of sinx and Cosx

Q: 29.:* Find the derivative: h(x)= | dz z+1 a. b. C. 2+2 d. 2(x+1) e. None of the above.

A:

Q: COS X continuous? 3x At what points is the function y=

A: The given function y=cos x3x

Q: ats] Examine each of the graphs given below and choose one of the descriptions of the derivative at…

A:

Q: Let f '(x) = sinx - cos x. Where does the relative extremum value of occur? (a). 플 (b). (d). 프 (c).

A:

Q: eX+eX f(in(x)) Let f(x) = The value of dx is: %3D Soloct

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Q: d (Va+2 – 3) is. dx Evaluate this derivative however you like. 3(x + 2)2/3 1 3(x + 2)2/3 3 + 2 1 3(а…

A: Formula d/dx (x^n)=nx^(n-1)

Q: mm? Let f (x) = vx .Find the equation of the tangent line to f(x) at x = 30. Using the linear…

A:

Q: dy as a function of æ. dx inction in the form y = f(u) and u = g(x), and then b. find Preview…

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Q: -2 Let f be a function such that f(u) du = -12. What must be the value of -3 dx?

A:

Q: A2) Find the derivative of the following functions: L tanz (d). g(z) 3 - secz

A: The given function is fx=tanx3-secxWe need to find the derivative of the function.Formulae to be…

Q: 5. Evaluate the following derivatives. (a) y" where y = x7 + 3 ln(x). %3D

A: a) find y'''  where y=x7+3ln(x) First we need to find first derivative with respect to x  use power…

Q: The sketch of y = (x) is shown below. Which of the following is the sketch of the derivative…

A:

Q: x is a function of g. find dx/dg if given glnx = tanx2 - eg

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Q: Assuming that y is defined implicitly by the equation a? - y? = 100, the derivative - dy at (2, 19)…

A: Here I am attaching image so that you understand each and every step.

Q: In each part, choose the letter from the dropdown menu that corresponds to the most accurate…

A: Differentiation: A.An antiderivative of y=-3That means integration of -3Therefore that will…

Q: Find the anti-derivative as a function (use the insert math tool to input your answer) S xVx-3 dx Xv

A:

Q: he deriva tive dy br the function dx

A:

Q: Find F '(x). F(x) = sin t4 dt F '(x) = Need Help? Read It

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Q: Question Find fy for f(x, y) = eª ln(y). Sorry, that's incorrect. Try again?

A:

Q: Using the definition of a derivative, find s' (x) given s(x) = -x² – 5x + 8. Provide your answer…

A:

Q: What is numerical differentiation? From the following table dy d'y of values of x and y find dx and…

A: Numerical differentiation: Numerical differentiation is the method of evaluating the derivative of a…

Q: R(w) = w? 8w + 20

A: Derivatives are one of  the fundamental tools of the calculus. In mathematics, derivatives are the…

Q: If y = f(g(h(x))), then the derivative y/ is given by which formula? a) None of these Ob) f'(g(h(x))…

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Q: ind the first and second derivatives of the function. 1+ 12z W = (8-z) 4z dw dz dz? 2.

A: Topic:- derivatives

Q: H.W H find the degree of Precition. O F(x) = X

A:

Q: et + e Find D53 Note: Read "D" f(x)" as "the n'h derivative of f(x)"

A:

Q: 5. Find the derivative of the function f(r) = (r² + 5)e %3D

A:

Q: true or false y-f(a)=f'(a)(x-a) is an equation for the tangent line to y=f(x) at x=a

A: Given  y=f(x) at x=a   equation of line is given as below :

Q: T(x) = x®, B(x) = x? T(x) A) The derivative of · is B(x)

A: Given: Tx=x8, Bx=x2 for finding derivative of TxBx, we first find TxBx then differentiate it

Q: Use implicit differentiation to find dy/dx. x+y = x2 + y2 X- y X(x - y +y А. x+ y(x- y)? x(x - y) -…

A:

Q: Find the domain and range of the function f(x, y) = arccos(x + y)

A: Given f(x, y) = cos-1(x + y)

Q: plve the following initial value problem for y as a function of x. dy 3X dx = Vx2 - 4, x2 2, y(2)= 2…

A: 3xdydx=x2-4 multiply both sides by dx 3x dy=x2-4 dxdivide by 3xdy=x2-4 3xdx Now integrate it on both…

Q: Use limits to find

A: Given: y=x2

Q: d dx = dx If f is a differentiable function on R, then dx

A: Explained below

Q: Differentiate the following function. y=exo d y' - dx (e

A:

Q: dy Assume that the equation x² + xy + y? = 1 defines a function y = f(x). Find. dx

A: Differentiating the equation with respect to x

Q: A function f(x) is defined by f(x) ce Find the value of the constant e for (x) dx=1.

A:

Q: ind the derivative of the function f(x,y) = x +xy + y at the point (5,6) in the direction O A. - 545…

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Q: Ose the definition of a derivative to the derivative of the following functions. x + 3 h(x) %3D 2x -…

A: Recall: Definition of the derivative : f'(x) = limh→0f(x+h)-f(x)h Quotient Rule of differentiation…

Q: Find f"(x). 5, f(x) = / (x² + 7) ª Tip: This question askes for second derivative. Mu

A:

Q: DETAILS Find the indicated derivative. dp for p= q + 2 49-5 bp dp d +2 P dq [ 4q -5'q

A:

Q: F(x) = sin(t) dt F'(x) =

A: Perform integration

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.