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## Related Calculus Q&A

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Q: The function f has a continuous derivative. If f (0) = 1, f (2) = 5, and f (x) dz 7, what is %3D %3D…

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Q: Find the derivative of f(x) at r = 0 using the definition of the derivative as a limit. %3D Va +I

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Q: Use the definition of partial derivative of a function f(x, y) = 3x² – xy? to illustrate fi and f2 '

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Q: Define a function f : R² → R² by f 2.у 1. Show that f is differentiable on A = E R² |x > 0, y > 0}…

A: To show that the function f defined as below is differentiable on A and compute its derivative

Q: Find the derivative of the function f(z,k) = z^4— 16k^3+ tanh(z) — 4 csc(k) in terms of z and k ?

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Q: Consider the derivative function h (x) = -sec? (x) + 9. What is the general antiderivative of h?

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Q: The limit used to find the derivative is f(t) – f(x) dy dx lim definition %3D t- x

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Q: Use the Second Derivative Test to determine the relative extremum (extrema) and saddle point(s), if…

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Q: QIFind the derivative of the function f(z, k) = z* – 16k + tanh(z) – 4 csc(k) in terms of z and k ?

A: Dear student Here is the solution of your query

Q: Find the derivative of the function by the limit process. f(x) = 3x- 1 - (x), J

A: fx=3x-1

Q: Use the Second Derivative Test to determine the relative extremum trema) and saddle point(s), if…

A: This is a problem related to maxima and minima of the function. By first derivative test we will…

Q: If the derivative of y = f(x) at x = 2 is equal to " (0 " then y = f(x) is not continuous at r = 2.…

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Q: Find the derivative of the given function a. F(x) = dt 1+ b. g(x) = [ - dt sinx 1+1*

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Q: (b) A bounded, 3B > 0 such that |f(x)| < B Vx € (0,1), continuous function on (0,1) with unbounded…

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Q: (d) Compute the driectional derivative of f at (1,2) in the direc- tion u = (e) • point (1, 2)? What…

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Q: Find the derivative of g(x) = |. •r In z Vt2 +t+1 dt

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Q: Find the derivative of F(x) = 4 n sin(t) dt. %3D dx 3x² cos(x)

A: Integral calculus is one of the two main parts of calculus that is concerned with the study of…

Q: Let f(x) be a function that is defined and has a continuous derivative on the interval (2, 0).…

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Q: Find the derivative of h(z)=(az+b)/q . Assume that a, b and q are constants. h′(z)=

A: Given function is, h(z)=(az+b)q where a, b & q are constants.

Q: Find the anti-derivative of g(x) = sec(x) tan(x) which contains the point (TT, 0). O G(x) = -csc(x)…

A: Solution to the anti-derivative can be found by integrating the function.

Q: Find the derivative of F(x) = sin(t) dt. 3x cos(x) %3D

A: We apply Leibnitz rule

Q: 3. For which values of a is the derivative of f(x) continuous on R?

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

A: We use the fundamental theorem of calculus.

Q: Let f(x, y) = V xy. Find the derivative of f. af 1 ду 2

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Q: 3. Estimate the derivative of the function, f(x) = cos x + tan1 x, at xi= 0.5 using Richardson's…

A: To find the derivative of the function fx at x=x0 by Richardson's extrapolation centered finite…

Q: Find the derivative at the given point. f(x)= at x = 0 %3D x+1 O 1/4 O-1

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Q: Find partial derivative of for the function f(x,y) given below exp 2x. siny .(at the point (In2, 0…

A: Explanation of the answer is as follows

Q: Let y = f(x) be a differentiable function. If the derivative of f is zero at x = a, then the…

A: Given statement : Let y=f(x) be a differentiable function. If the derivative of f is zero at x=a,…

Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of sin (z) h(x) = |.…

A: We differentiate both sides of h(x) with respect to x.

Q: Find the values of x on [0, 2 ) π where the tangent line of f x( ) be horizontal. y=e^-x (cosx)

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Q: If the derivative of y=f(x) does not exist at X = a then y f(x) is not continuous at X = A) True B)…

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Q: se Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function g(x) : I VR+…

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Q: Find the derivative of the function. a. y = In(x + Vr² – 1) b. f(x) = log2 (e "cos Tr) COS

A: According to our policy, when multiple questions are posted we solve only the first question. sorry…

Q: Let f(x) = In(1 + 7 x). Find flS(0), that is the third derivative of f evaluated at 0. f(3 !3D

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Q: Find derivative of the function f(z) = (sin¬' (2z – 1))² with respect to z.

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Q: Find the derivative of the following function F(x) = (2t – 1) dt using the Fundamental Theorem of…

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Q: Show that the function y=| × | is differentiable on (-o,0) and (O, c0) but has no derivative at x =…

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Q: HW prove That The derivative of Flx)=x-x is if (x) = 3x?1 use definition of devivativeto finid The…

A: Use following mentioned rules to find the derivative of the function. The power rule of…

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

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Q: Find the derivative of the function using the definition of derivative. dy = lim dx Ar-0 Ar Ay 1.…

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Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

A: Given that by using the part one of fundamental theorem of calculus we need to find derivative of…

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

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Q: Find the derivative of F(x) = n sin(t) dt. 3x2 d dx cos(x)

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Q: Find the derivative of the function f(z) = 3z² +7z at I = a.

A: Given, f(x) =3x2 + 7x and x=a

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: Find the derivative of (a) f(z) = (z+4 sin z) (1-7 cos z), and %3D sin z (b) g(z)

A: Part (a) Given function is fx=x+4sinx1-7cosx

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) = /…

A: Here by using the fundamental theorem of calculus we have to find the given derivative of the…

Q: Find the partial derivative of the function with respect to each variable. h(p,p,0) = p cos p sin 0…

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Q: Using the definition, find the derivative of fz) = 3 z^-6 z² at point z= 0

A: Given, fz=3z4-6z2

Q: 3. Find the derivative of f(x, y, z) = z2 + ye" at (In 2, 2, 1/2) in the direction in which the…

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