Jx + 2x f(x)=- 7х — 4х? 8.

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: Find the derivative of the function. y = = *

A: For these kind of derivatives, we need to use the substitution method. Substitute the power term…

Q: If f(x) = 2x2 + 10x + 6, find the equation of the line tangent at x = %3D -1.

A: Given, f(x) = 2x2 + 10x + 6 So, y = 2x2 + 10x+ 6 for finding the equation of line  we first find the…

Q: х3+3x+2 5. у %3 х2-1

A: Given function: y=x3+3x+2x2-1 Differentiate the above function .w.r.t 'x' y'x=ddxx3+3x+2x2-1

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: y = -14x+49. X-7

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Q: Find the equation of the tangent line when x = 4 and the curve y + 3

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Q: Find G'(w) if G(w) = G'(W) = . 5 9w4 + +74 /√w.

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Q: Use the deffinition of derivatives to deffrintiate y= -x3+3x-6

A: Here the given function is

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

A:

Q: y = 9x — x3; (2, 10) -

A: We have to find the derivative of the function .Also we have to evaluate the derivative at the point…

Q: 3 + 4х? — 9а — 36 y = – 9x — 36 4а? + 28х + 48

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Q: Please solve algebraically. Student has not learned about derivatives. Thank you.

A: The obtained profit function is

Q: Locate the stationary point of the following functions and determine their character. y= 1/2x^4 -…

A: Please see the below picture for detailed solution.

Q: Find the slope of the tangent to the curve y = x² - 2x + 3. Also find the equation of this tangent.

A: Solution