Logarithmic differentiation means tAke logarithm of both sides to make the function easier to find the derivative.
y = (sinx)^lnx
ln(y) = ln((sinx)^lnx)
power rule logarithm
ln(y) = ln(x) ln(sinx)
Take derivative
y'/y = ln(sinx)(1/x) + ln(x) cosx/sinx
multiply both sides by y
y' = y( ln(sinx)/x + ln(x)cotx )
remember y = (sinx)^lnx
sub this in for y
y' = (ln(sinx)/x + ln(x)cotx)(sinx)^lnx
Answer:
6
Step-by-step explanation:
3+3+6+6=18
3*6=18
The expression that represents the product of negative three-fourths x and –8x is 6x^2
<h3>How to determine the equivalent expression?</h3>
The statement is given as:
the product of negative three-fourths x and –8x
Rewrite properly as:
-3x/4 * -8x
Divide 4 and 8 by 4
-3x * -2x
Multiply -3 and -2
6x * x
Multiply x and x
6x^2
Hence, the expression that represents the product of negative three-fourths x and –8x is 6x^2
Read more about expressions at:
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Answer:
Numeric expressions apply operations to numbers. For example, 2(3 + 8) is a numeric expression. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression.
Step-by-step explanation:
Answer:
a≤39/5
Step-by-steep explanation:
60a+64≥80a−92
Step 1: Subtract 80a from both sides.
60a+64≥80a−92
-80a -80a
−20a+64≥−92
Step 2: Subtract 64 from both sides.
−20a+64≥−92
-64 -64
−20a≥−156
Step 3: Divide both sides by -20.
−20a≥−156
a≤39/5
