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Finding Derivative of a Function

Value of limx...

Question

Value of $lim x \to 2 (8 - 3 x + 12 x^{2})$ is

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Solution

To evaluate the limit of a polynomial function, we use direct substitution.
$lim x \to 2 (8 - 3 x + 12 x^{2})$
$= 8 - 3 (2) + 12 (4)$
$= 50$

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∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} - 1 & x^{2} + 2 x + 1 & 2 x^{2} + 3 x + 1 2 x^{2} + x - 1 & 2 x^{2} + 5 x - 3 & 4 x^{2} + 4 x - 3 6 x^{2} - x - 2 & 6 x^{2} - 7 x + 2 & 12 x^{2} - 5 x - 2 \end{matrix} ∣ ∣ ∣ ∣ ∣ = 0

. Let sum of all values of x be k. Find -2k.

\frac{12 x^{2} + 18 x + 12}{18 x^{2} + 12 x + 58} = \frac{2 x + 3}{3 x + 2}

- \frac{15}{8}

If true then enter

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and if false then enter

0

(2 x^{2} - 3 x + 1) (2 x^{2} + 5 x + 1) = 9 x^{2}

, then the absolute value of the sum of all real roots of the equation is:

f (x) = {\begin{matrix} x^{2} / 2 & 0 < x \leq 1 2 x^{2} - 3 x + 3, & 1 < x < 2 \end{matrix}

then which is incorrect

f (x) = ⎧ ⎨ ⎩ \begin{matrix} \frac{x^{2}}{2} 0 < x \leq 1 2 x^{2} - 3 x + 31 < x < 2 \end{matrix}

then which is correct

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Finding Derivative of a Function

Standard XII Mathematics

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