Question

Help !!!See question in image.Please show workings .​​

Answer 1

Answer:

gradient = 9

Step-by-step explanation:

The gradient of the tangent at x = a is the derivative $\frac{dy}{dx}$

Differentiate using the power rule on each term

$\frac{d}{dx}$ (a$x^{n}$ ) = na$x^{n-1}$ and $\frac{d}{dx}$ ( constant ) = 0

y = 2x² + 5x - 3

$\frac{dy}{dx}$ = 2.2$x^{2-1}$ + 5$x^{1-1}$ - 0

    = 4x + 5

$\frac{dy}{dx}$ ( x = 1 ) = 4(1) + 5 = 4 + 5 = 9 ← gradient of tangent