Question

d/dx (xe^(lnx^2)) =?

Answer 1

since e^x and lnZ(x) are inverse operations, it is true that:\[\ln(e^x) = x\] and\[e^{\ln(x)} = x\]

using same logic:\[e^{\ln(x^2)} = x^2\]

we aer now looking for d/dx (x*x^2) = d/dx x^3

i think you can handle it now ^_^

Answer 2

x^3?

Answer 3

x*e^(lnx^2) = x^3

so you have to derive x^3

Answer 4

i understand now :)

Answer 5

3x^2 thanks :)