h(x) = -3x – 5x + 20x + 60x. Find the point on the graph of h(r) with the largest slope, that is, the (a) point where the tangent line of h(x) has the largest slope at this point. (b) Write the equation of the tangent line at the point found in part (a).

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Q: Find the slope of the line tangent to the curve 5x3 + 2x5y − y2 = 2 at the point (1,3) Write your…

A: Explantion: Given that: 5x3+2x5y-y2=2 Concept: slope of line m=dydx dxndx=nxn-1 duvdx=udvdx+vdudx

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A: The equation of tangent line to a curve y = f(x) at a point (a,b) is given by the below equation.

Q: Find all points on the graph of ƒ(x) = x3 + 9x2 + 19x - 10 where the slope of the tangent line is -5

A: Given: ƒ(x) = x3 + 9x2 + 19x - 10 The slope of the tangent line is -5

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Q: If f(x) = 2x² + 4x + 9, find the equation of the line tangent at x = 2. -

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Q: (a) Use the definition of derivative to determine whether the parabola y = 2x2 – 13x + 5, have a…

A:

Q: If f(x) = 8x2 - x3, find f'(2) and use it to find an equation of the tangent line to the curve y =…

A: The given function is f(x)=8x2-x3

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A: First of all find derivative and slope

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A: Given that: f(x) = 2x2-9x+4  To find:  Equation of tangent line at x=2.

Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

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Q: Determine the slope-intercept equation of the line tangent to the graph of y = 4x^2 - 7x + 1 at x =…

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Q: If f(x) =3x2 -x3 ,find f ' (1) and use it to find an equation of the tangent line to the curve y=…

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Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.