(1 point) Find dy/dx
dy/dx
if y=9x−10 − − − − − − √ 3
y=9x−103
if
y = 9 x plus or minus ANY constant
then dy/dx = 9
because the derivative of any constant is zero. It does not change.
if y = (9x-10)/√3
then y' = 9/√3 = 3√3
To find dy/dx, the derivative of y with respect to x, we can apply the power rule for differentiation.
The power rule states that if we have a function of the form f(x) = x^n, where n is a constant, then the derivative of f(x) is given by f'(x) = n*x^(n-1).
In this case, we have y = 9x^(-10√3). Applying the power rule, we can find dy/dx as follows:
dy/dx = (d/dx)(9x^(-10√3))
= 9*(-10√3)*x^(-10√3-1)
= -90√3*x^(-10√3-1)
Therefore, the derivative dy/dx is -90√3*x^(-10√3-1).