y= c¡x+c2x²

Q: Find the second derivative of f(x)=(3x2+7)2 and simplify

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Q: y varies directly as x and inversely as z can be modeled by the equation

A: Given that y varies directly as x and inversely as z. To write the equation which can modeled the…

Q: obtain the second derivative of the function: y=2-5x^4+3/2x^2

A: Please refer the attached image for complete solution.

Q: Find the derivative: -3xy + 2 = 5x³

A: Find dydx Given -3xy+2=5x3

Q: Differentiate with respect to x: * 1 y = (1– x³) 2

A: Follow the procedure given below.

Q: 9x3 + 7x + 1 y = 2х — 1

A:

Q: Find the derivative of  C(x)=(2x3)/(3x4+2)

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Q: Find the derivative if  y = 12x5+3x4+7x3+x2-9x+6

A: Given: y=12x5+3x4+7x3+x2-9x+6 we know that ddxxn=nxn-1

Q: Find the derivative of the function y=1x+2x2+3x3.

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Q: Find the derivative of the function. y = (2x – 5)*(8x² – 5)-3

A: Derivative denotes rate of change. According to product rule, ddxf(x)g(x)=ddxf(x)g(x)+ddxg(x)f(x)

Q: Find the second derivative of the function. f(x)= (3x³+6)* %D

A:

Q: If y varies inversely as x, and if y = 1/2 when x = -8, find the constant of variation.

A: y varies inversely as x. y ∝ 1x y = k.1x y = kx where, k is a variation constant.

Q: Find the higher-order derivative. f"(x) = 16x³ – ? 34x f'"'(x) = %D

A: To find the third order derivative , we need to differentiate the gives function with respect to x.

Q: Find the derivative of the function. y = 3√(6x2 + 1)

A: y=36x2+1

Q: Find the first and second derivatives of y = 2(3x³ + 5x² – 2)13

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Q: Assume that y varies directly with x. If y = -4.8 when x= -1.6, what is the constant of variation?

A: Given, y=-4.8 and x=-1.6 Suppose that constant of variation is k. We know that y varies directly…

Q: Find the 1st and 2nd derivative of : c1e^2x + c2xe^2x

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Q: Differentiate y=2x/e^x

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Q: Assume that y varies jointly with x and the square root of z. f  y=30 when x=3 and z=25, then find…

A: Given y varies jointly with x & square revt at Z .If y = 30 when x = 3 & z = 25 .We have…

Q: b. y = (4x – x²) (x* – 2x² + 10x) -

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Q: iven the function y=2x³-4x²+5,

A: Given, the function               y=2x3-4x2+5

Q: Integrate the function. dx x/49x² – 4

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Q: Find the derivative. a) (x-3)(x+2)(x^3) b) 9x^2(10x+4)

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Q: N or 8x 5 y 3= . 4x 2

A: Given function is y=8x+54x-2 To find derivative of the given function. Solution: Quotient rule of…

Q: Find the derivative of f(x) = 7xª + 5x² + 2.

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Q: (x+2y)*= c(3x-y)

A:

Q: Find the derivative of f (x) = 2xº – 25 + 4.

A: Given, The function is f(x)=2x9−x5+4.

Q: Find the second derivative of the function. y = (8x + 5)3

A: Given: y=8x+53 The power rule for derivatives is expressed as ddxxn=nxn-1…

Q: Find the derivative of the function. F(x) = (x4 + 5x2 – 9)6

A:

Q: y varies directly as x and inversely as z can be modeled by the equation_________ .

A: we have to fill in the blank: y varies directly as x and inversely as z can be modeled by the…

Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: Find the equation of the line tangent to f(x) = 4x³ + 9x – 7 when x=3. O f(x) = 135x - 288 o f(x) =…

A: Given, f(x)=4x3+9x-7 and x=3 The equation of a line in point-slope form is given by y-y1=mx-x1…

Q: Find the derivative of the function y=3x2−2√x+1.

A: y=3x2-2x+1Differentiate with respect to xdydx=ddx(-2x+1+3x2)

Q: solve the first and second derivative of Y= (x2-4)2 / x-4

A: Given function Use quotient rule to find the first derivative

Q: -y = (x2 +5x)3

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Differentiate. y = 6x/e^x

A: Given , y = 6xexDifferentiate with respect to x using quotient rule formuladdxf(x)g(x)=…

Q: Find the derivative of the function. y = 9x5 - 4x3 + 2x - 10

A: given y = 9x5 - 4x3 + 2x -10 note : derivation of axn = naxn-1 , where a is constant  derivative of…

Q: Find the derivative of the function. f(x) = x2 + 5 − 3x−2

A: Known fact: ddxxn=nxn-1ddxf±g=dfdx±dgdxddxk=0   where k is constant

Q: Find the second derivative of: f(x) = 2x2 - 8x + 9 a. -8 b. 4 c. 9 O d. 0

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Q: Find the derivative of the function. F(x) = (xª + 7x² – 3)4

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Q: Find the derivatives of the functions y = (9x2 - 6x + 2)ex3

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Q: Find the derivative of y = (x² + 4)²(2x³ – 1)³

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Q: Find the derivative 9x 4e 3x+2

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Q: Find, the derivative of y= 5x e" + 6x3 y':

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Q: If y varies directly as x and inversely as z and if y = 21 when x = 14 and z = 6, find the constant…

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Q: Find the derivative of the function. F(x) = (7x6 + 8x³)4 %3D

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Q: Find the derivative. 1) y = 3x4 + 3x3 +4 A) 4x3 + 3x2 - 7 B) 12x3 + 9x2 C) 4x3 + 3x2 D) 12x3 + 9x2 –…

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