If y= x³(x2 – 2x+7), which of the following higher order derivatives represents the zero function? d°y A dx Py dx4 D

Q: Which of the following is the derivative of y +3x ? Select one: dy a. da 3x 3 dy b. dz = 3x? dy C.…

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Q: Find the equation dy/dx +Py=Qyn where P and Q are Functions of x

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Q: If y=x³(x2-2x+7), which of the following higher order derivatives represents the zero function? A.…

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Q: find the values of the derivatives.

A: Given: y=5-2x2y=1-1x To Find:  dydxx=-4=? if y=5-2x2dydxx=3=? if y=1-1x

Q: Find the equation of y, given the derivative and the indicated point on the curve. y = dy 2(x - 1)…

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Q: Find the derivatives of the functions ƒ(t) = t2 - 1/t2 + t - 2

A: We write f(t) using exponents first, then find the derivatives using the power rule.

Q: find the indicated derivatives. dz/dwif z = 1√w2 - 1

A: We need to find the derivative of the given z-function

Q: find the indicated derivatives. ds/dt if s = t/2t + 1

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Q: Find the equation of y, given the derivative and the Indicated point on the curve. dy dx y = = 2x -…

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Q: If y= x³(x² – 2x +7), which of the following higher order derivatives represents the zero function?…

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Q: If y is a function of x and y3 + y2 - 5y - x2 = -4, find dy/dx implicitly.

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Q: Show that y=xe-x satisfies the equation dy/dx +y=e-x

A: We find dy/dx using product rule

Q: If y= x³(x² – 2x+7), which of the following higher order derivatives represents the zero function? A…

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Q: Q4) Find the derivatives for the following: 1) y? + 3x2 – tan¬'(3x – 12y) = 7n

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Q: If y= x(x2 - 2x+7), which of the following higher order derivatives represents the zero functior dx4…

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Q: Find the equation of y, given the derivative and the indicated point on the curve. y = dy 2(x - 1)…

A: The given differential equation is: dydx=2(x-1)dy=2(x-1)dx Integrate on both sides,…

Q: find the indicated derivatives. dv/dt if v = t - 1/t

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Q: Find the following derivatives. where z= e 9x + 4y x = 3st, and y = 2s + 4t Zs and Zt,

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Q: Q1 / Find dy/dx by using the definition of derivatives for the following functions; -4 1. у %3D 2. f…

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Q: Find derivative of the following function. -8x 8X + e y%3= dy dx I3D

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Q: Find the derivatives of the functions s =√t/1 + √t

A: The function is s=t1+t.   Differentiate the function with respect to t.…

Q: 3) Find the following derivatives: a. y = 2x b. f(x) = 4x³10x² + 7x-15 c. g(x) = 3x(x² - 4)5 d. y =…

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Q: If x = t+1 and y = t2 - 2t +3, then find t - 1 dx

A: We can find the answer using required rules as below.

Q: Find the indicated derivative. dy if y %3D - 3х xp dy dx %3D

A: Recall: dα f(x)dx=α d[f(x)]dx; where, 'α' is any constant. dxndx=n.xn-1

Q: Find the first and second derivatives of the functions s = t2 + 5t - 1/t2

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Q: Find the derivative of the function. y=4 e 5x+2 dy %3D xp

A: Given y=4 e5x+2 Find: The derivative of the function The following formula is used  ddx(eax) = aeax…

Q: 6. Find the derivative of y = t2 ? = 2t b) = 2t d) = 2 a) 2 dt 4..

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Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −6x4 +2y4 =11

A: we find derivative dy/dx implicitly by using the result that derivative of x^n is nx^(n-1) and…

Q: Find the derivatives of the functions u = 5x + 1/2√x

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Q: d 1) Find sec dt t2 - 3t 2) Find the derivative of y t+1.

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Q: Find the derivative of the function y = xe2a. dy d.x

A: The given function is y=xe2x To find: dydx

Q: Find the derivatives of the functions y = (1 - t) (1 + t2)-1

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Q: Let y= 8 x2 - 7. dy = AxB + C. dx Find A, B, and C so that %3D A = B = C = Then find the value of…

A: Given  y = 8x2-7   ......... (1) We have to find the value of A, B, and C such that dydx=AxB+C…

Q: Find the derivatives of the following: f(x)=e^2x-2e^x+1/e^2x-1   And  y=e^cos(r^2cos^2r)

A: Given ,f(x)  = e2x-2ex+1e2n-1

Q: find the indicated derivatives. dy/dx if y = 2x3

A: We have given, y=2x3

Q: Find (a) the derivative , y = dy 4 -32x

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Q: Solve for the derivatives of the following functions with complete solutions. a. y = In (5x²) b. y =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given the function y = x3 + 7x, find the differential dy.

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Q: Q3. Find the derivatives of the functions 2x + 5 a) y b) w = (2x – 7)(x + 5) Зх — 2 5x + 1 с) и 2 Vx

A: We have to find the derivative of the following functions a)  y=2x+53x-2 b) w=(2x-7)-1(x+5) c)…

Q: Find the equation of y, given the derivative and the indicated point on the curve. dy dx 2x - 1 y =…

A: To solve the following differential equationdydx=2x-1and point (1, 2)  is at the given curve

Q: B. Find the indicated higher order derivatives *** (1+x)² 2. y"'if y = x2

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Q: t2 y = t 5. x = t-1 t2-1

A: second derivative

Q: x+6 7. y= 2 b. x3 c. + d. - 18 18 를+ 18 а. с. x3

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

Q: Find the derivatives of the following functions: (a) y = 5et – 3x + 17 (b) y = -7e + ex? (c) y =…

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Q: Find for the given equation. dx x8 – y6 = x dy 1- dx

A: Differentiation

Q: Which of the following is the derivative of y = x² + 7? Select one: dy a. = 2x + 7 dx b. = r + 7x +C…

A: Given: y=x2+7 Since, ddxf(x)+g(x)= df(x)dx+ dg(x)dx and ddxxn=nxn-1 ; ddxconstant = 0

Q: B) Find the derivatives of the following functions 2) y=2 Vx-1 sec Vĩ 2 (x+1)10 (2x+1)5 7) y=ttanh…

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Q: Let y= 6 x5 − 3.Find A, B, and C so that  dy dx  = AxB + C. A = B = C = Then find the value…

A: Consider the function