Basic Differentiation

Front

What is the derivative of f(x) = -5/x^4?

Back

20/x^5

Front

Differentiate f(x) = x^3 + x^2 + 3.

Back

3x^2 + 2x

Front

Differentiate y = 12x^-2.

Back

-24x^-3

Front

What is the derivative of f(x) = 5x^7?

Back

35x^6

Front

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

Back

4x

Front

What is the power rule for differentiation?

Back

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

Front

What is the constant rule in differentiation?

Back

The derivative of a constant is zero.

Front

Differentiate f(x) = 7x^5.

Back

35x^4

Front

Differentiate f(x) = 4x^3 - 2x + 1.

Back

12x^2 - 2

Front

What is the product rule for differentiation?

Back

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