Equation we find in introductory differential calculus
There are several equations that we commonly encounter in introductory differential calculus. Here are a few examples:
1) The equation of a straight line: y = mx + b, where m represents the slope and b represents the y-intercept.
2) The power rule for derivatives: d/dx(x^n) = nx^(n-1), where n is any real number.
3) The product rule for derivatives: d/dx(f(x) * g(x)) = f'(x) * g(x) + f(x) * g'(x), where f(x) and g(x) are differentiable functions.
4) The chain rule for derivatives: d/dx(f(g(x))) = f'(g(x)) * g'(x), where f(x) and g(x) are differentiable functions.
5) The exponential function: f(x) = e^x, where e is Euler's number (approximately equal to 2.71828).
These are just a few examples, and there are many more equations and rules that arise in introductory differential calculus.