Continuity equation is derived using the conservation

Q: Use the Chain Rule to find the derivative. y = sec 1/X

A: Differentiate: y=sec 1x. Apply chain rule: dydx=dydu·dudx Let u=1x dydx=dsec 1xd1x·d1xdx

Q: Find the direction derivative of f(x, y, z) = x²y -zx -yx point (1,-1,1) in the direction 3i+4k x at…

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Q: use implicit differentiation to find dy/dxin terms of x and y .

A: We have to find implicit derivative (dy/dx) of the curve .Information is given below:

Q: f2)= 2°+2 +| ; whee 2=メ+iy

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Q: Using Leibnitz theorem, the nth derivative of xy, is

A: We have to find nth derivative of xy1 using Leibnitz theorem.

Q: Calculate the derivative 24 dt using Part 2 of the Fundamental Theorem of Calculus. a va a sin (a)

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Q: Calculate the derivative 25 using Part 2 of the Fundamental Theorem of Calculus. 25 dt =

A: Given: ∫-1x6t2-t25dt

Q: compute the derivative

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: 3. (D - 3D? + 4)y = 40cos2x + 6

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Q: Find y" by implicit differentiation. бх2 + у2 %3D 3 y" =

A: Given that implicit function is 6x2+y2=3 To find: y''Solution:6x2+y2=3 Diffranciate w.r.t…

Q: Define continuous variation

A: Let CV denote Continuous Variation.

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: The derivative of function y = tanh¬1 (sec(3x²))

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Q: X+ Jenk %3D

A: Here is the solution

Q: Use directional derivative definition to find derivative of f(x,y) x2 + y2 at the direction of u=i+j…

A: Directional derivative: ∇ufx,y=∇fx,y·uu                =∂∂x,∂∂yx2+y21,2·32i+12j32i+12j…

Q: Prove the differentiation formula (d/dx)  [sech x] = −sech x tanh x

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Q: Using limit definition of derivative, prove d/dx e^x=e^x

A: We using limit definition

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: Use implicit differentiation to find the derivative of: 9. х2 +x Arctany %3D у + 4…

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Q: What does continuity mean?

A: What does continuity mean?

Q: Qeustion 1 Use implicit differentiation to find the equation of the tangent line to the cardioid…

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Q: Use differentiation rules to find y' = dy/dx.

A: Rearrange y to get y in fractional form.

Q: Using implicit differentiation, find dy - if y = tan(x – y). dx

A: It is implicit differenriation.

Q: Compute the derivative of f(x) = arcsin(x? e

A: Given f(x)=sin-1(x2e3x)

Q: 4) 8х — у? %3D 3

A: Consider the provided equation, 8x-y2=3 Find the y' by implicit differentiation.

Q: ∫ (1 + secx)2 dx Evaluate indefinite anti-differentiation

A: Solve it

Q: Calculate the derivative d dz (2t5 34 dt using Part 2 of the Fundamental Theorem of Calculus.

A: The solution are next step

Q: 3. Use implicit differentiation to find an equation of the tangent line to the curve 2(x + y = 25(x…

A: Explanation of the answer is as follows

Q: Calculate the derivative 33 dt da using Part 2 of the Fundamental Theorem of Calculus.

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Q: The derivative of sec(e) is tanx O 1) tan(e*") sec{e*™) O 2) tan(e**) sec(e*)x e** 3) tan(e)…

A: topic - derivative of a function

Q: Using central difference, find the second-order derivative of y=x²cosx at x=9, h=0.1

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Q: find differentiation of y= cot ax

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Q: Use implicit differentiation to find an equation of the tangent line to the cardioid at the point…

A: Given function is  x2+y2= (2x2+2y2-x)2  We have to find the equation of tangent at (0,-0.5) .

Q: Find the derivative of fuction Γ(z)=pinz+z^2   Γ'(z)=?

A: Here we have to find the derivative of τ(z)=πnz+z2

Q: Find the derivative of the function: (DO NOT SIMPLIFY): 2z f(z)%3D +2 (高)

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Q: find the equation of tangent line of function f(x)=csc(x)-cos(x)1/2 at the point ((2*3.14)/3,…

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Q: Verify by differentiation that  ∫ ln x dx = x ln x - x + C.

A: The given statement is ∫ln x dx=xln x-x+C. Verify this as follows.

Q: Use imp licit differentiation to find the slope of ngent line to the curve defined by the tar…

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Q: compute the derivative h(z) = sec(z + ln z)

A: Given

Q: Use directional derivative definition to find derivative of V3. f(x,y) = x² + y² at the direction of…

A: to find the directional derivative of  f(x,y)=x²+y² at direction of u=(√3/2)i+(1/2)j at point (1,2)…

Q: Use the Fundamental Theorem of Calculus to find the derivative. dt

A: We have to find the derivative by fundamental theorem of calculus.

Q: 2) f(z) = (« + iy)“ - i (x+ iy)

A: Given function: fz=x+iy2-ix+iy.   We know that if fz=ux,y+ivx,y is analytic then f'z=ux+ivx=vy-iuy.…

Q: Differentiate. y =  In sec x

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Q: Use implicit differentiation to calculate the value of derivative y' at the solution point (2, y) =…

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Q: Use the ħndanental Theorem Ot calculus part I to find the derivative Of hx)=

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Q: The directional derivative of f(x, y) in the directional

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Q: What is the derivative OF a Arcsin X y= 3

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Q: Solve the problem using the CHAIN RULE of differentiation    Imagine a sphere whose radius r…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.