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Find dy/dx if y = 3x4 + 2x2 − 5x + 7.

Mathematics

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Graph of y = 3x⁴ + 2x² − 5x + 7

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Key points of y = 3x⁴ + 2x² − 5x + 7
Pointxy
y-intercept07
Minimum0.65.11

Here are the solutions to the questions you sent:

Question 3(d): Find dydx\frac{dy}{dx} if y=3x4+2x2−5x+7y = 3x^4 + 2x^2 - 5x + 7.

Step 1: Differentiate each term with respect to xx.
We use the power rule for differentiation, ddx(axn)=naxn−1\frac{d}{dx}(ax^n) = nax^{n-1}, and the rule that the derivative of a constant is 0.

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