HIGHER DERIVATIVE OF A FUNCTION AT A POINT 1. If y = 3x3 – 6x2 + 6x + 1, find d dy dx ' dx2 at x = 2

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Q: find y'' y = sin ( x2+3x=1)

A: Given y=sin(x2+3x+1)

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A: To find the first derivative of y=sinx-2x+3. Solution: Chain rule of differentiation states that:…

Q: 10)Use implicit differentiation to find dy/dx

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Q: he partial derivative. x² 8x y-6xy. Find f, (x.y). 3

A: f(x, y) = x3 - 8x2y -6xy3 We have to find the partial derivative w.r.t y

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A: detailed solution is given below

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A: Given: x = a sint y = b cost -------------------------------------------------- To find: 3rd order…

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A: Given:

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Q: Using implicit differentiation evaluate dy/dx, where y? + 2 ln y = 5x² + 7, and note that your…

A: d/dx(ln x ) = 1/x ddxxn=nxn-1

Q: 5. Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.…

A: Given eq. is xcosy=1Now differentiate wrt x on both sides:ddx(x*cosy)=ddx(1)We know that…

Q: etermine the second derivative of 2x3 + y² = 1 – 4y[Hint: Implicit Differentiation]

A: Given 2x3+y2=1-4y differentiating both sides with respect to x: 6x2+2ydydx=-4dydx…

Q: 4. Find an equation of the tangent line to the graph of f(x) = ln(x ^2 + 4) at the point (2, ln(8))

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Q: 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative 10. y = -3 cot 2x, 2nd derivative

A: Question 8,Given,            y=-5e3x2To find : Determine the 2nd derivative of the given function.

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A: Consider the expression x2y = y-7.

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A: Given function: fx=2cos xx2Differentiate the above function w.r.t 'x' f'x=ddx2cos xx2

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Q: sin 0.5 va Find the first-order derivative of y = at x = 2 and h = 0.2 a.) Forward difference b.)…

A: Three approximations to the derivative of function f(x) at x=k are 1.  the one-sided (forward)…

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Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

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Q: ii) y = e**-2x + x²-e

A: We need to find the first derivative of the following y=ex3−2x+x2−e so we we need to find value of…

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A: given  y=3 ln(5/x) We have to find  dy/dx.

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Q: derivative of y=log(x sin x)

A: Given that: y=log(xsinx) find derivative of this function . We know that:  d(logx)/dx= 1/x.…

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Q: 1. Use centered-difference approximation to estimate the first and second derivatives of y = xex at…

A: Given function is y=f(x)=xexx+1 and h=0.1 O(h2) formulae f'(x)=f(x+h)-f(x-h)2h…

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Q: Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),      (3,…

A: To Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 3x + 1),…

Q: 5x f(X) = V2x+3 %3D Find the first derivative given that

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Q: Can i get help step by step?

A: Given,

Q: can you help me step by step with this problem?

A: Let z= 6x^2+1 Substitute that. Then take d/dx on both sides.

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. x3 + y3…

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Q: dx by implicit differentiation. dy Given the equation x - yš = 4, find

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Q: Find Differentials Function y = x2        Derivative dy/dx = 2x                 Differential dy =…

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Q: Can i get help step by step please

A: We have to use the power rule because of exponent -1 and then use the chain rule for (cscx-cotx).

Q: Can you help me with this problem step by step?

A: Given: