| IMPLICIT DERIVATIVES | GRAPH STUFF | RELATED RATES | OPTIMIZATION | POSITION, VELOCITY, ACCELERATION |
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dy/dx = (3x²) / 2y ?
2x³ = 2y² + 5
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c = 1/2
Determine whether the Mean Value Theorem (MVT) applies to the function f(x) = 4x² - x on the
interval [–1, 2]. If it applies, find all the value(s) of c guaranteed by the MVT for the indicated interval. |
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6x² = 3y³ + 6y
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MVT does not apply because the equation is discontinuous at x = 0.
Determine whether the MVT applies to the function f(x) = (x+1) / x on the interval [–2, 3]. If it applies, find all the value(s) of c guaranteed by the MVT for the indicated interval.
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5x² = (3x²y³ + 2)²
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sin(2x²y³) = 4x³ + 6
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7x² + 7 = ln(5xy²)
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