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The derivative of 1/x3 is equal to -3/x4. Note that 1/x3 is an algebraic function. In this article, we will learn how to find the derivative of 1 divided by x3 using the power rule, product rule, and the definition of derivatives. Derivative of 1/x3 Formula The derivative of 1/x3 can be expressed mathematically as … Read more

In this section, we will discuss the formulas of the sum of the squares of natural numbers. These formulas are very useful in various competitive exams. Sum of cubes of first n natural numbers: We determine the sum of cubes of consecutive natural numbers by the following formula: Prove that:$1^3+2^3+3^3+\cdots+n^3$ $=[\frac{n(n+1)}{2}]^2$ Proof: Let $S$ denote … Read more