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phyico
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Determine the equation 1 the tangent to the given function, at the given point.
y = (3x^-2 - 2x^3) , @ (1,1)
y = (3x^-2 - 2x^3) , @ (1,1)
Equation of Tangent: y = -7x + 5 @ (1,1)
- Thread starter phyico
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SUMMARY
The discussion focuses on determining the equation of the tangent line to the function y = (3x^-2 - 2x^3) at the point (1,1). Participants confirm that calculating the derivative dy/dx is essential for finding the slope of the tangent line. After obtaining the slope, users can solve for the y-intercept to complete the equation of the tangent line, which is expressed as y = -7x + 5.
PREREQUISITES- Understanding of calculus concepts, specifically derivatives
- Familiarity with the process of finding tangent lines
- Knowledge of polynomial functions and their properties
- Ability to solve linear equations
- Study the rules of differentiation for polynomial functions
- Learn how to apply the point-slope form of a line
- Explore examples of tangent lines in calculus
- Investigate the implications of tangent lines in real-world applications
Students studying calculus, mathematics educators, and anyone interested in understanding the application of derivatives to find tangent lines.
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