Question

Find the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4​

Answer 1

The gradient of the tangent to the curve y = 5x³ + 3x² - x + 4​ is 15x²+6x-1.

What is the gradient?

A differential operator is used for a function having a vector value in three dimensions to produce a vector whose three components are the partial derivatives of the function with respect to its three variables.

The given equation for the curve is;

y = 5x³ + 3x² - x + 4​

The gradient of the tangent to the curve is;

$\rm y'=\frac{dy}{dx} \\\\ y'= 5x^3 + 3x^2- x + 4 \\\\\ y'=15x^2+6x-1$

Hence,the gradient of the tangent to the curve y = 5x³ + 3x² - x + 4​ is 15x²+6x-1.

To learn more about the gradient refer to;

brainly.com/question/13020257

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