Use the principles definition to find dy/dx for:
y= -3x^2
is that a negative 3?
yes
ok then think about what you have to do first :)
To find the derivative of the function y = -3x^2 using the principles definition, we need to differentiate each term separately.
The power rule states that the derivative of x^n, where n is a constant, is given by nx^(n-1).
In this case, the function is y = -3x^2.
To find dy/dx, we differentiate each term separately:
The derivative of -3x^2:
For the constant term -3, the derivative is 0, since the derivative of any constant is 0.
For the term x^2, we apply the power rule: Multiply the exponent, 2, by the coefficient, -3, and subtract 1 from the exponent. Thus, the derivative is -3 * 2x^(2-1) = -6x.
Putting it together, dy/dx = -6x.
So, the derivative of y = -3x^2 is dy/dx = -6x.