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:
Step-by-step explanation:
Answer:
D. She used the beach's ball's diameter when she should have used the radius
Step-by-step explanation:
To find the volume of the beach ball, using the volume of a sphere is the right formula to use, which is ⁴/3πr³.
The formula she used is correct.
Since the diameter of the ball is assumed to be 12 inches, what is needed to find the volume is the radius.
Radius (r) = ½(diameter) = ½(12) = 6 in.
This is where Emily made a mistake.
She used the diameter of the beach ball instead of its radius (r) which is needed in the equation.
She should have gotten,
V = ⁴/3(3.14)(6)² = 904.32 cubic inches
Answer:
La respuesta es falso.
Step-by-step explanation:
La respuesta es falso.
Cuando se suman fraccciones con igual denominador, se suman los numeradores (numerador con numerador) y se deja el mismo denominador (el cual es común en ambos). Por ejemplo, la suma de 1/5 + 3/5 da como resultado:
En el caso de fracciones con diferentes denominadores, tampoco se suma numerador con numerador y denominador con denominador. En ese caso se debe encontrar el mínimo común múltiplo.
Por lo tanto, la respuesta es falso.
Espero que te sea de utilidad!
