helpme156
helpme156
01-03-2017
Mathematics
contestada
find y' for y=(x)^(x^2) (derivative)
Respuesta :
LammettHash
LammettHash
02-03-2017
[tex]y=x^{x^2}[/tex]
[tex]\ln y=\ln x^{x^2}[/tex]
[tex]\ln y=x^2\ln x[/tex]
Now differentiating with respect to [tex]x[/tex] gives
[tex]\dfrac{y'}y=2x\ln x+\dfrac{x^2}x[/tex]
[tex]\dfrac{y'}y=2x\ln x+x[/tex]
[tex]\dfrac{y'}y=x(\ln x^2+1)[/tex]
[tex]y'=yx(\ln x^2+1)[/tex]
[tex]y'=x^{x^2}x(\ln x^2+1)[/tex]
[tex]y'=x^{x^2+1}(\ln x^2+1)[/tex]
Answer Link
VER TODAS LAS RESPUESTAS ( 14+ )
Otras preguntas
Over the last few months, Juan and his colleagues have analyzed the current business situation and identified target markets for his firm's personal care produc
Which of the following procedures is TRUE regarding the construction of a decision tree for product​ design?A.Payoffs are entered at the beginning of the appr
RIDDLE- You see a boat filled with people. It has not sunk, but when you look again you don’t see a single person on the boat. Why?
Fill in the blanks using the option below: The lipid bilayer consists of ______ rows of ______, with the ______ hydrophobic ______ forming the center of the bi
2 Points What is a hominid? O A. Any ancestor of humans O B. Any bipedal animal O C. Any species formed by evolution O D. Any bipedal primate SUBMIT
Circle A is congruent to circle J. Chords BC, CF, EG, KL, LO, and MP are congruent. Circles A and J are congruent. Chords B C, C F, E G, K L, L O, and M P are c
Which facts represent the economic reality the nation faced in 1933? A. Banks were failing every day. B. People were selling gold at lower prices. C. The govern
An architect build a scale model of a sports stadium that was 12 inches. The actual height of the building was 180 feet. Which scale did the architect use to cr
A ball of mass I .5 kg falls vertically downward. Just before striking the floor, its speed is 14 m/s. Just after rebounding upward, its speed is 10 m/s. If th
What was the Zhou dynasty
