Calculus – Linear Equations Practice Set · 5

Question:
Let f of x equal e to the 2x. The tangent line to f at x equals 0 intersects the x-axis at which point?

Calculus – Linear Equations Practice Set · 5

This lesson demonstrates how to find the equation of a tangent line to an exponential function at a given point using the chain rule. Students then locate where that tangent line crosses the x-axis by setting y equal to zero and solving.

In this lesson, you will learn to:
• Differentiate an exponential function using the chain rule
• Write the equation of a tangent line using point-slope form
• Find the x-intercept of a tangent line by setting y = 0
• Interpret the tangent line geometrically on a coordinate graph

Course: Calculus
Level: Grade 12

Pause before each step, try the next part yourself, and then continue to check your reasoning.

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