Basic Differentiation Formulas (2.3)

The the product of a constant times the quotient of *d* over the product of *d* times *x* equals zero.

Describe in words the derivative of a constant function using Leibniz notation.

The derivative of the difference between two functions is the difference of the derivative of two functions (assuming both functions are differentiable)

Describe the difference rule of a derivative in words

The derivative of a sum of functions is the sum of the derivatives (assuming both functions are differentiable)

Describe the sum rule of a derivative in words.

If n is any real number, than the derivative of a power function is equal to the product of *n* times *x* to the power of the difference between n and 1.

If *n* is positive, describe in words the formula for the derivative power rule

The Difference rule of Derivatives

What derivative rule is this?

The Sum Rule of Derivatives

What derivative rule is this?

Derivative of a Constant Function

What formula is described here?

Derivative of a Power Function

What formula is described here?

Derivative of a Power Function Formula

What formula is described here?

The derivative of a constant times a function is the constant times the derivative of the function (if the function is differentiable)

What is the constant multiple rule for a derivative?

ƒ'(x) = 0

What is the derivative of a constant function?

Negative Sine of X

What is the derivative of the cosine of x?

5x⁴

What is the derivative of the power function f(x) = x⁵

Cosine of X

What is the derivative of the sin of x?