From the point (2,2), find the directions in which the directional derivative of f(x,y)=x2 +xy3 takes the value of 12.

Q: y=8x-x³ 12) Where is the function concave down?

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Q: Determine the equation of the line tangent to the curve y = 3| : 3(x+4)² y = at the point (6,75).

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Q: Calculate the second and third derivatives. y = 7x² - 7x² + 9x

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Q: Find the equation of the line tangent to the graph of fat (1, 2), where fis given by f(x) = 4x³ -…

A: Application of derivative

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: Write the equation for the curve that has slope of 2y/x for each point P(x,y) on it and passes…

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Q: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

A: Given: The given curve is y=x3-9x and the point 3,0. To find: The main aim is to find the equation…

Q: 8. y = (3x² + 7)²

A: y=(3x2+7)2

Q: why is that line segment used for f', couldn't the other line y=3x+1 be used?

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

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