The approximation for the function g(4.2) is 12.44
What is the approximation for the function?
From the table, we know that g'(4) = 2.2
g (4) = 12
Using the line tangent to the graph of g at x=4 ,
g (4.2) = g (4 ) + (4.2 -4 )2.2
= 12 + 0.44
= 12.44
The approximation for the function g(4.2) is 12.44. So ,option A is correct.
What is a tangent?
- The graph of the affine function that most closely resembles the original function at the specified location is known as a tangent line approximation.
- It can be thought of as the tangent line to a point on a differentiable curve.
- The plane that touches a surface at a specific location is known as the tangent plane to that surface.
- One of differential geometry's most basic ideas is the idea of a tangent.
- Differentiability is a particular kind of mathematical smoothness that is essential to the tangent line's existence and uniqueness.
- The point of tangency, where the tangent line and the curve converge, is where the tangent passes through.
- Refer image for complete question.
To learn more about tangent, refer:
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