Derivatives

Front

What is the derivative of sec(x)?

Back

sec(x)tan(x)

Front

What is the derivative of cot(x)?

Back

-csc²(x)

Front

Find the derivative of the given equation: f(x) = x³ + x² + 3

Back

3x² + 2x

Front

Find the derivative of the given equation: f(x) = 7

Back

0

Front

What is the derivative of tan(x)?

Back

sec²(x)

Front

What is the definition of a derivative?

Back

The derivative of a function at a point is the limit of the average rate of change of the function as the interval approaches zero.

Front

What is the power rule for derivatives?

Back

If f(x) = x^n, then f'(x) = n*x^(n-1).

Front

What is the product rule for derivatives?

Back

If u(x) and v(x) are functions, then (uv)' = u'v + uv'.

Front

What is the quotient rule for derivatives?

Back

If u(x) and v(x) are functions, then (u/v)' = (u'v - uv')/v².

Front

What is the chain rule for derivatives?

Back

If y = f(g(x)), then dy/dx = f'(g(x)) * g'(x).