Exp-Log d-dx

Front

What is the derivative of e^x?

Back

e^x

Front

Find the derivative f(x) = x^2/e^x.

Back

f'(x) = (2xe^x - x^2e^x) / (e^x)^2

Front

Find the derivative f(x) = xe^x.

Back

f'(x) = e^x + xe^x

Front

Find the derivative of y=3x^2ln(x).

Back

6xln(x) + 3x

Front

What is the derivative of ln(x)?

Back

1/x

Front

What is the product rule for derivatives?

Back

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

Front

What is the quotient rule for derivatives?

Back

If u and v are functions of x, then (u/v)' = (u'v - uv') / v^2.

Front

What is the chain rule for derivatives?

Back

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

Front

What is the derivative of a constant?

Back

The derivative of a constant is 0.

Front

What is the derivative of x^n?

Back

The derivative of x^n is nx^(n-1).