Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

Q: Sketch the graph of the function f(x)=-x2 +4x-1. Find the equation of the line that is tangent to…

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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: let f (x) =ex-1+3 which is the graph of x?

A:

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: Find the slope of the curve x3 = (y - x2)2 at (1,2).

A: Topic:- application of derivatives

Q: Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

A: Given that Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

Q: Find the slope of the curve given by f(x)=x3e4x at the point (-1,-e-4)

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Q: Find the slope of f(x)=2(2x+3) O at (-1,0)

A: Introduction: When given an equation that is not a line, first find the derivative of the curve.…

Q: Find the slope of the curve y = 8x – 3x2 at point (2, 4).

A: Explanation of the answer is as follows

Q: Find an expression for the function f(x) whose graph is a line passing through the points (4, 5) and…

A: Find the slope of the line. Start with the slope formula.

Q: Write the equation of the line tangent to f (x): x2 – 3x + 5 at the x

A: To find an equation of the tangent line of f(x)  at the point x=0

Q: does this equation define a linear function y=3/4x when x≠0

A: Linear functions are typically written in the form f(x) = ax + b The graph of Linear function  is…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: