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Logarithmic Differentiation
Grade Level
Calculus I
CAL1.65 Logarithmic Differentiation
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Differentiate y = (x + 1) to the power of (ln(x squared + 1)) (assume x > -1). Which expression is y'?
A
y ·((2x divided by (x squared + 1))·ln(x + 1) + (ln(x squared + 1))·(x + 1))
B
y ·((2x divided by (x squared + 1)) + (ln(x squared + 1))·(1 divided by (x + 1)))
C
y ·(ln(x + 1) + (ln(x squared + 1))·(1 divided by (x + 1)))
D
y ·((2x divided by (x squared + 1))·ln(x + 1) + (ln(x squared + 1))·(1 divided by (x + 1)))
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