y = VI - x + x

Q: Second derivatives Find y′′ for the following functions. y=xsin(x)

A: Here given function, y=xsin(x) and we have to find the second derivatives of the given function.…

Q: Homogenoys Equations: Evaluate the DE xdy+(2y-x)dx=0

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Q: please find the first and second derivatives and show complete solution

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Q: Logarithmic Differentiation. Find y'

A: Write the function without radical sign using the power 1/3.   Take log on both sides,

Q: tangent equation at given value points. F(x+h)-f(x) Use f'(x) = lim h-0 b. w = g(z) = 1+ 4-z, (z,w)…

A: given function is w=g(z)=1+4-z find the equation of  the tangent at (3,2) find the differentiation…

Q: H (t) = 3csch (t) + 7 sinh(t)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Differentiation F(x) =cos[ ( root sin(tanaxl]

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Q: Chain Rule with several independent variables Find the following derivatives. zs and zt, where z =…

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Q: Implicit Differentiation To find y' given f(x,y) = 0: 1. Differentiate both sides of the equation…

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Q: Derivatives of functions with rational exponents Find dy/dx

A: We have to find the derivative dydx of the function: y=5x+123 We know the formula of derivatives,…

Q: Tangent lines Find an equation of the line tangent to the cycloidx = t - sin t, y = 1 - cos t at the…

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Q: Derivative of y = |x| Graph the derivative of f(x) = |x|. Then graph y = (|x| – 0)/x - 0) = |x|/x.…

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Q: dx 7. x²+6x+8 dx 8. V5x²–15 100 – 49x² dx 9.

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Q: Derivatives of functions with rational exponents Find dy/dx

A: Given: y=1+x1323

Q: -1 csch (tanx)

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Q: Derivatives from a graph Let F = ƒ + g and G = 3ƒ - g,where the graphs of ƒ and g are shown in the…

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Q: CHAIN RULE DERIVATIVES Date Directions: Differentiate the given functions. 2.) G(X) - T52"

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Q: DERIVATIVES of ALGEBRAIC FUNCTIONS or y' of the following functions in terms of x. dx dy Determine…

A: Derivative of the given function: y=1-x+1-x

Q: Tangent lines The line tangent to the curve y = h(x) at x = 4 isy = -3x + 14. Find an equation of…

A: We have given tangent line to the curve y=hx at x=4 is y=-3x+14 .

Q: Differentials Consider the following function and expressthe relationship between a small change in…

A: Given that, f(x)=x+44-x

Q: Tangent Line. If p(x) : 2x2 + 6х3 + + 4 (a) Then p'(1) = (b) The equation of the tangent line to the…

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Q: definite integral* (b=3) (a=-3)   (e^-0.2x)*(9-(x^2)) dx (in terms of pi if possible)

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Q: 1. x sin y-y cos x = C

A: Topic - differential equations

Q: Derivative formulas Derive the following derivative formulas given that (cosh x) = sinh x and - dx…

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Q: Derivative formulas Derive the following derivative formulas given that (cosh x) = sinh x and - dx…

A: The derivative of sechx have to be found. ddxsechx since sechx is the reciprocal of coshx, This can…

Q: %3D 4-X

A: We will find the derivative using delta rule as following.

Q: Derivatives of constant multiples of functions Evaluate the followingderivatives.

A: Given: a ddx-7x118(b) ddt38t

Q: Ssinh(3x-1) dx 10.

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Q: lanarithmic differentiation bo find desivative of the function. (x+)"(x-s y= (x-3).

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Q: xy = e2*; y ху e2x; y

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Q: f(x) .3 II

A: Given that function,     f(x)=5x3   f(x)=5x-3

Q: Derivatives of power and constant functions Evaluate the followingderivatives.

A: Given : a. ddxx9b. ddxxc. ddx28

Q: Integration of Rational Functions of Sine and Cosine #4

A: We have to find the integral.

Q: arctan x Suppose that f is differentiable at 0 and f(0) = 5. Find the derivative of at x = 0. f(x)

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Q: Derivatives of power and constant functions Find thederivative of the following functions.

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

Q: Inconclusive tests Show that the Second Derivative Test is inconclusive when applied to the…

A: To show second derivative test is inconclusive.

Q: ANTI-DERIVATIVES OF TRIG FUNCTIONS Please find f(x) and f'(x) of f''(x)=-4sin(2x). Please show…

A: f"x=-4sin2x ⇒ ddxf'(x)=-4sin2x . Therefore,…

Q: f(x) = 4xe-2x+3x √5x ; ƒ' (2)

A: Use the following finite difference formulae, to compute the first derivative of the function fx.…

Q: Derivatives of power and constant functions Evaluate the followingderivatives.

A: We have to find the derivatives of the functions: a.  ddxx9b.  ddxxc.  ddx28 We know the formula of…

Q: Chain Rule with several independent variables Find the following derivatives. zs and zt, where z =…

A: Given: z = sin2x+y, x = s2-t2,  y = s2+t2 To find: The derivatives zs  and  zt .

Q: (Implicit differentiation) dy Find from the following expressions dx (a) x = y sinh 4x+ cosh y (b) y…

A: (a) First calculate the the value for dx/dy. Then, determine the value for dy/dx by using reciprocal…

Q: Derivatives of constant multiples of functions Evaluate the followingderivatives

A: Consider the expression ddx-7x118 ddx-7x118=-78ddxx11=-7811x11-1=-77x108

Q: 3. f (x) = V1+ v1 – x 4. у %3

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Q: Using "Numerical Differentiation (Central Finite Difference)" Problem Solving f(x) = 4e-2xsin(x2)…

A: 1. The product rule for differentiation states that ddx[f(x)·g(x)]=g(x)f'(x)+f(x)g'(x), where f(x)…

Q: DERIVATIVES of ALGEBRAIC FUNCTIONS dy or y' of the following functions in terms of x. dx Determine…

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Q: Total differential. We have f (x, y) = ln (x² + y²) at the point (1, 2). %3D NO CALCULATOR. Evaluate…

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Q: The Reciprocal Rule a. The Reciprocal Rule says that at any point where the function v(x) is…

A: Given: (a) The quotient rule is given as,

Q: Derivatives involving ln x Find dy/dx for the following functions

A: Derivatives involving ln x Find dy/dx for the following functions   " Since you have posted a…

Q: DERIVATIVES OF ALGEBRAIC FUNCTIONS Determine or y' of the following functions in terms of x. dx 2. y…

A: Given equation: y=x2+153x-2-113

Q: Integrating Polynomial Functions ∫(x + 2) dx = ∫x dx + ∫2 dx

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: