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Mathematics
Calculus
Tangent lines

Show that the curve:

y = 4e^x + 2x + 5x^3 has no tangent line with slope 1.

1 answer
asked by rosie
2 years ago
164 views
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update, i managed to figure it out :)

answered by rosie
2 years ago
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Did you know?

Did you know that some curves do not have tangent lines with a specific slope? It has been proven that the curve defined by the equation y = 4e^x + 2x + 5x^3 does not possess a tangent line with a slope of exactly 1. Tangent lines are lines that touch a curve at a single point and represent its instantaneous rate of change at that point. In this particular case, the curve's shape and the behavior of its terms result in no tangent line with a slope of 1. This demonstrates the diverse and intriguing properties of mathematical curves.

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