Question

Identify the point at which the slope of the equation x 2 + 2 x − 5 is 10

Answer 1

Answer:

X2+2x-5=10

X2+2x=15

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Answer 2

SOLUTION

TO DETERMINE

Identify the point at which the slope of the equation x² + 2x − 5 is 10

EVALUATION

Let y = x² + 2x − 5

Differentiating both sides with respect to x we get

$\sf \: \dfrac{dy}{dx} = 2x + 2$

So by the given condition

$\sf \: \implies 2x + 2 = 10$

$\sf \: \implies 2x =8$

$\sf \: \implies x =4$

When x = 4 we have

y = 4² + 2 × 4 − 5 = 16 + 8 - 5 = 19

FINAL ANSWER

Hence the required point is ( 4, 19)

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