2x + 3 The equation of the line tangent to f(x) = at x = – 2 is x + 3 y = 3x +

Q: -2- Write an equation for the tangent line at x = 3 of the curve : 1 f(x)= /2x+ 3

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Q: find the first and second derivatives

A: The derivative of a function at a point is the rate of change of the function with respect to the…

Q: y = xe2x

A: We can find the third derivative as below

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A: Given the equation of a parabola y=ax2+bx+c

Q: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

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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: A3) Find the equation of the line tangent to the graph of f(x) = 4x + 3r² – 6x – 4 at x = -3.

A: f(x)=4x3+3x2-6x-4 at x=3,

Q: Find the first derivative. y=T° + 2T5 -6T - T-7 P. ( +27 -6T-T-7) = dT

A: Explanation and solutions is given below....

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

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Q: (4x-3) find dy/dх y = (2х-7)6

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Q: Given the equation 3y - 9x + 6 = 0, find f'(x) %3D using slope-intercept form.

A:

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: Write the equation of the line tangent to f(x)=x5 when x = -2. Oy=80x192 O y = -80x+128 Oy - 80x192…

A: The equation of the function is given what you need to do ? 1. Find the slope at given point 2. Form…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: O Find the equation of the line tangent to the graph of f(x) = 7x + 3x? – 4x - 8 a %3D

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Q: (q² + 3` qª – 1' 2. P = 129

A: Differentiation of the given function helps to find the derivative of the given function. The given…

Q: Find the derivative y=-4x 7 2x + √3 -

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

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Q: determine the y-intercept of f(x) equals 3X -1 divided by X -1 

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Q: Use sign charts for the first and second derivatives to graph y = 40x³ – 147x² + 180x – 73 on the…

A: We know  when f'>0 then function increasing when f'<0 then function decreasing when f''>0…

Q: find the homogenous linear equation of the function y = x2 sinx+ e5x

A: