Derivative of Exponential Functions Practice updated

Front

What is the derivative of e^x?

Back

The derivative of e^x is e^x.

Front

What is the derivative of 10e^x?

Back

The derivative of 10e^x is 10e^x.

Front

Find y' if y=e^sin(3x).

Back

y' = 3cos(3x)e^sin(3x).

Front

Find the derivative of f(x) = x^2 + 3e^x - cos(x).

Back

f'(x) = 2x + 3e^x + sin(x).

Front

Find the derivative of y=(2^(3x+4)).

Back

y' = 3(ln(2))(2^(3x+4)).

Front

What is the chain rule in differentiation?

Back

The chain rule states that if a function y is composed of two functions u and v, then dy/dx = (dy/du) * (du/dx).

Front

What is the product rule in differentiation?

Back

The product rule states that if u and v are functions of x, then d(uv)/dx = u(dv/dx) + v(du/dx).

Front

What is the quotient rule in differentiation?

Back

The quotient rule states that if u and v are functions of x, then d(u/v)/dx = (v(du/dx) - u(dv/dx)) / v^2.

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 n*x^(n-1).