Let y=f(x) = 4x^2/4x+1 d) Find the equation of the tangent line to the curve y=f(x) at the point x=1  (e) Use your answer in (d) to approximate f(1.01) without using a calculator.

Q: Find the equation of the tangent line to the curve f(x) = x* - 9x2 + 2 at the point x=1.

A:

Q: Find the x-coordinate of the point on curve y=In(2x²-11x) where the tangent line is horizontal. Just…

A: The objective of the question is to find the x-coordinate of the point on the curve y=ln(2x^2-11x)…

Q: a).Find x value where the graph has a horizontal tangent line. f(x) = x^3 + x Using the fact that…

A: The given function is  f(x) = x3 + x Differentiate with respect to x , we get f'(x) = 3x2 + 1

Q: function f(x)=2x^3-5x^2+3x+2, find the equation of the tangent line at x=1.

A:

Q: Define f(x)=2x^4-3x^2 as a Maple function. Find the equation of the tangent line at the point x=2.3.…

A: We have,  fx=2x4-3x2 The derivative of fx is f'x=8x3-6x Slope of tangent line at (2,3) is f'2=8…

Q: Determine the equation of the tangent to f(x) at (3, 6) f(x) = (8x-7)(x + 2x²)

A: f(x)=(8x-7)(-x+2x2)equation of tangrent line is y=mx+cwhere m is slope of linem=f'(x)

Q: Find the slope of the tangent to the curve y=2/(8-5x) at x1=6.

A: Calculate the differentiation:-