Basic Rules of Differentiation

The derivative of" is also written d/dx. So d/dx f(x) and f’(x) both mean "The derivative of f(x)".

Basic Rules of Differentiation

Rule-1 related Example: What is d/dx (x⁵)?

Solution:

The question is asking "What is the derivative of x⁵ "?

Where, n=5

We know, d/dx (xⁿ) = nx^n-1

Now, d/dx (x⁵) = 5x⁵⁻¹ = 5x⁴

(In other words the derivative of x⁵ is 5x⁴)

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