Question

Differentiate with respect to x:f(x)=(8x^3+X^2)

8x^3−x
24x^2−2x
2x^2−2
8x^2−x

Answer 1

Answer on Question #47147 – Math – Differential Calculus | Equations

Differentiate with respect to $x$: $f(x) = (8x^3 + X^2)$

$$8x^3 - x$$ $$24x^2 - 2x$$ $$2x^2 - 2$$ $$8x^2 - x$$

Solution.

$$f(x) = 8x^3 + x^2, \quad f'(x) = 8 * 3 * x^2 + 2 * x = 24x^2 + 2x$$ $$f(x) = 8x^3 - x, \quad f'(x) = 8 * 3 * x^2 \cdot 1 = 24x^2 - 1$$ $$f(x) = 24x^2 - 2x, \quad f'(x) = 24 * 2 * x - 2 = 48x - 2$$ $$f(x) = 2x^2 - 2, \quad f'(x) = 2 * 2 * x = 4x$$ $$f(x) = 8x^2 - x, \quad f'(x) = 8 * 2 * x - 1 = 16x - 1$$

Correct answer is $24x^2 + 2x$.

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