Find the stationary points of the function y = 4x3 + 9x2 - 30x + 10.

May 5, 2026Mathematics

ScanSolve AI Answer

May 5, 2026

Answer

4x^3 + 9x^2 - 30x + 10$

Here are the solutions for parts 2a and 2b.

Part 2a: $y = 4x^3 + 9x^2 - 30x + 10$

Step 1: Find the first derivative. $\frac{dy}{dx} = \frac{d}{dx}(4x^3 + 9x^2 - 30x + 10) = 12x^2 + 18x - 30$

Step 2: Find the x-coordinates of the stationary points by setting the first derivative to zero. $12x^2 + 18x - 30 = 0$ Divide by 6:

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y = 4x^3 + 9x^2 - 30x + 10 Step 1: Find the first derivative. (dy)/(dx) = (d)/(dx)(4x^3 + 9x^2 - 30x + 10) = 12x^2 + 18x - 30 Step 2: Find the x-coordinates of the stationary points by setting the first derivative to zero.

Asked on May 5, 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 May 5, 2026

Here are the solutions for parts 2a and 2b. Part 2a: y = 4x^3 + 9x^2 - 30x + 10 Step 1: Find the first derivative. (dy)/(dx) = (d)/(dx)(4x^3 + 9x^2 - 30x + 10) = 12x^2 + 18x - 30 Step 2: Find the x-coordinates of the stationary points by setting the first derivative to zero. 12x^2 + 18x - 30 = 0 Divide by 6: 2x