Let's dive into the power rule, a handy tool for finding the derivative of xⁿ. This rule simplifies the process of taking derivatives, especially for polynomials, by bringing the exponent out front …

Discover how the power rule helps us find derivatives of functions like 1/x, ∛x, or ∛x². By rewriting these functions as xⁿ, where n is a negative or fractional exponent, we can apply the power …

Review your knowledge of the Power rule for derivatives and solve problems with it.

Use the power rule to differentiate functions of the form xⁿ where n is a positive integer.

The power rule states that the derivative of x raised to the power of n is n times x raised to the power of n-1, and this rule holds even when n is a negative integer. The power rule works with …

We dive into proving the formula for the derivative of x^n by skillfully applying the binomial theorem. Together, we expand (x + Δx)^n, simplify the expression, and take the limit as Δx …

Use the power rule to differentiate functions of the form xⁿ where n is a negative integer or a fraction.

Let's explore the power rule's validity by examining the derivatives of x¹ and x². We'll analyze the slopes of tangent lines for these functions and then see how the power rule provides …

Review all the common derivative rules (including Power, Product, and Chain rules).

Let's dive into the power rule, a handy tool for finding the derivative of xⁿ. This rule simplifies the process of taking derivatives, especially for polynomials, by bringing the exponent out front …