OJEE Tangent — practice questions

Explore 2 free Tangent questions in OJEE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

Practise Tangent with Quill →

Tangent questions and exercises with answers

Showing questions 1–2 of 2.

The **slope of the tangent** to the curve $y = f(x)$ at point $(a, f(a))$ is:Read the answer and worked solution →The slope of the tangent to $y = x^3 - 3x + 1$ at $x = 2$ is:Read the answer and worked solution →

Worked practice questions

The slope of the tangent to the curve $y = f(x)$ at point $(a, f(a))$ is:

$f(a)$
$f'(a)$
$1/f'(a)$
$f''(a)$

Show answer and solution

Correct answer: B. $f'(a)$

Tangent slope at $x = a$ equals $f'(a)$, the derivative evaluated at that point. Normal slope = $-1/f'(a)$ (perpendicular).

Open this question →

The slope of the tangent to $y = x^3 - 3x + 1$ at $x = 2$ is:

Show answer and solution

Correct answer: C. 9

$y' = 3x^2 - 3$. At $x = 2$: $y' = 3(4) - 3 = 9$.