q=D(x)=900/(x+7)^2 find the elasticity
To find the elasticity of D(x), we first need to find the derivative of D(x) and then substitute it into the formula for elasticity.
The derivative of D(x) is given by the power rule for differentiation:
D'(x) = -1800/(x+7)^3
Then, we can substitute the derivative into the formula for elasticity:
E(x) = (x/D(x)) * D'(x)
E(x) = (x / (900/(x+7)^2)) * (-1800/(x+7)^3)
Simplifying,
E(x) = -2(x+7)/(x+7)
E(x) = -2
Therefore, the elasticity of D(x) is -2.