Method of Differentiation
Differentiation Rules
JEE Main PYQ
Grade 12
Question:
If $f(x) = x^{12} - x^9 + x^4 - x + 1$, the value of $f'(1)$ equals _____.
Step-by-Step Solution
Key Concept: Differentiate term by term using the power rule to get $f'(x) = 12x^{11} - 9x^8 + 4x^3 - 1$, then substitute the given value of $x$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: 6