Solved: Differentiate the function with respect to $x$: $y = 4x^3 - 5x^2 + 2x - 7$.

Question

Differentiate the function with respect to $x$ : $y = 4x^3 - 5x^2 + 2x - 7$ .

Verified Answer

$12x^2 - 10x + 2$

Explanation & Step-by-Step Solving

Solving: Apply power rule formula $\frac{d}{dx}(ax^n) = n \cdot ax^{n-1} \implies (3 \times 4)x^2 - (2 \times 5)x^1 + 2 = 12x^2 - 10x + 2$ .

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