A company manufactures wristwatches and the profit, P. (in hundred thousand pesos) can be modeled by P(x) =-2x' + 6x² + 8x , where x represents the number of wristwatches produced (in hundreds). When is the profit, P, equal to zero?

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

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Q: Find the first and second derivative if y = x3+3x2+7

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Q: Find the second derivative of the function.

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Q: The first derivative of f(x) = (5x^4 - 6x)^1/3 will be?

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Q: Find the 2nd derivative of y = 3x6 + 7x %3D O 90x3 O 18x4+7 O 18x5 + 7

A: y=3x6+7xTo find the 2nd derivative

Q: Find the second derivative of the function. f(x) = 5(2 − 7x)ª

A: The given function is fx=52-7x4. Find the second derivative of the given function. Here we use the…

Q: I. Find the second derivative 3. y = (x +8) (6x-1)

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Q: A population of yeast cells can double in 6 hours. Assume an initial population of 4,000 cells.Write…

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Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

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 point where the line tangent to y=x* – 3x² +2 at (2, 6) crosses the x – axis.

A: y=x4-3x2+2,  2, 6 Differentiating with respect to x, we get dydx=4x3-32x+0=4x3-6x Now slope of the…

Q: 1.) y = (3x² – 1 ) (4x +7 )

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Q: When we are standing at the point (1,-3), the function f(x, y) = 3x²y+xy is increasing most rapidly…

A: We have to find the direction of  rapid increase of the function using gradient of the function.

Q: зах (х+2)/x2+4x+3

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find first and second derivative of the given y=6x2-10x-5x-2

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Q: Find the first derivative: y= In V5x3 - 2

A: Given: y=ln5x3-25 We need to evaluate dy/dx. This can be done as follows:

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

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Q: Find the equation of the line tangent to the graph of f(x) = 4x° + 6x2 – 6x – 5 at x = -6. %3D

A: The function is given by fx = 4x3+6x2-6x-5 To evaluate: The equation of the tangent line to the…

Q: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

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 second derivative. 14) y = 4x² + 12x + 4x-3

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Q: 1 y = 8x* + 7x³ + =x² – 14x + 6 %3D -

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Q: Find the first and second derivative of the given 2x2+9x+8

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Q: Find the second derivative of y² + 2x³ = 1 – 4y

A: The given equation is y2+2x3=1-4y Rewrite as  y2+2x3+4y=1 differentiate…

Q: Find the homogenous linear equation with real, constant coefficients that is satisfied by:…

A: Given that  Required differential equation is satisfied by   y= 6 + 3xe^x - cos x

Q: Find the second derivative of f (x) = 3e5x− 8e-6x

A: Given ,  f (x) = 3e5x-8e-6x we have to find the second derivative of the given function.

Q: The higher derivative of y = 5x³ – 2x is O 15x2 – 2 О 30 O 30x

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Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: Suppose the percent of males who enrolled in college within 12 months of high school graduation is…

A: Given:         Percent of males enrolled in college is    y= -0.126x + 55.72         Percent of…

Q: Find the equation of the line tangent to f(x) = 4x³ – 5x +4 at (–2, –18). -

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Q: -y = a(10z² –8z+7)

A: Using composite derivative formula.

Q: Find the second derivative of y² + 2x³ =1– 4y

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Q: What is the derivative of f (x) = 6x¯² + 8x³ + 11x + 10 + e"?

A: Given that: f(x)=6x-2+8x3+11x+10+ex

Q: What is the second derivative of y = 6x+ – 3x³ + x2 – 5 a. y" = 24x3 – 9x2 + 2x b. y" = 144 C. y" =…

A: As per guidelines we will solve only  the first question  in the following step. If you want more…

Q: What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=O?

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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 second derivative of the function.   f(x) = x2 + 7x − 4

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Q: What is the first derivative of p(æ) = In (4x3 + x² +1)?

A: Given function is p(x)=ln4x3+x2+1

Q: Find the equation of the line tangent to the graph of f(x)= x2 over (3x-4)3 at the point…

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Q: Determine the second derivative of the given equation 2x³ - y² = 1- 4y

A: second derivative

Q: Find the 2nd derivative with complete solution y = 3x + 5 / x^2 + 4

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

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Q: Find the equation of the line tangent of f(x) = 3x - e-5x when x = 0.

A: f'x=3-e-5x-5=3+5e-5x We know that the slope of the tangent at x=a is f'(a). So the slope of the…

Q: What is the first derivative of y(x) = In (3x + 6x2 + 2x + 6)?

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Q: Q 4. Use ab-initio method and find the derivative of 3x +5x² – 2x-12.

A: ab-initio method is nothing but differentiating the function using basic principle of…