5. Find using first principles the slope of the tangent to f(x) = x² + 6x + 9 at x = -3.

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 7 at the point (3, 2.1). y =

A: Given curve is Differentiating with respect to x, we get

Q: 4. Connecting back - Find the equation of the tangent line to the curve f(x) = 3x² + 2x − 5 through…

A:

Q: 2. Find the slope of the graph of the function f(x) = 9x² - 4x5 at x = -1. Show your work using the…

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Q: Find an equation for the line that is tangent to the curve y=x3 −9x at the point (3,0).

A: Given: The given curve is y=x3-9x and the point 3,0. To find: The main aim is to find the equation…

Q: the equation of the tangent line to f when the slope is

A:

Q: y = 4x4+(3+51)x3+5x2-(100+1)x-400. What is the slope of the tangent on this curve at x=2.5?

A: Slope of the tangent to the curve y=fx at x=x0  Differentiate equation of curve with respect to x…

Q: Let f(x) = square root ( 4x + (3x -5)10 ).Find the equation of the tangent line to the graph of the…

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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