Differentiate: y = x3 + 4x - 3.

June 3, 2026Mathematics

ScanSolve AI Answer

June 3, 2026

Answer

$3x^2 + 4$

b) Differentiate: $y = x^3 + 4x - 3$ . Step 1: Apply the power rule for differentiation, $\frac{d}{dx}(x^n) = nx^{n-1}$ , to each term. For $x^3$ , the derivative is $3x^{3-1} = 3x^2$ . For $4x$ , the derivative is $4x^{1-1} = 4x^0 = 4$ . For the constant term $-3$ , the derivative is $0$ . Step 2: Combine the derivatives of each term to find $\frac{dy}{dx}$ . $\frac{dy}{dx} = 3x^2 + 4 - 0$ $\frac{dy}{dx} = 3x^2 + 4$

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b) Differentiate: y = x^3 + 4x - 3. Step 1: Apply the power rule for differentiation, (d)/(dx)(x^n) = nx^n-1, to each term.

Asked on June 3, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on June 3, 2026

b) Differentiate: y = x^3 + 4x - 3. Step 1: Apply the power rule for differentiation, (d)/(dx)(x^n) = nx^n-1, to each term. For x^3, the derivative is 3x^3-1 = 3x^2. For 4x, the derivative is 4x^1-1 = 4x^0 = 4. For the constant term -3, the derivative is 0. Step 2: Combine the derivatives of each term to find (dy)/(dx). (dy)/(dx) = 3x^2 + 4 - 0 (dy)/(dx) = 3x^2 + 4 Send me the next one 📸