Basic Differentiation Rules
Asked by Mohammed Irfanullah · 2 years ago
What is the power rule for differentiation and how is it applied?
1 Answer
The power rule for differentiation is:
1. For a function f(x) = x^n, where n is any real number
2. The derivative f'(x) = n * x^(n-1)
3. To apply:
a. Multiply the original exponent by the coefficient
b. Reduce the exponent by 1
4. Example: If f(x) = x³, then f'(x) = 3x²
5. This rule is fundamental and widely used in calculus.
1. For a function f(x) = x^n, where n is any real number
2. The derivative f'(x) = n * x^(n-1)
3. To apply:
a. Multiply the original exponent by the coefficient
b. Reduce the exponent by 1
4. Example: If f(x) = x³, then f'(x) = 3x²
5. This rule is fundamental and widely used in calculus.
NEET Faculty · 2 years ago
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