Question

q2
1 point
compute $f(a)$ algebraically for $a = 3$ if $f(x) = 8x^2 + x$
75
49
51
147
144

Explanation:

Step1: Find derivative of $f(x)$

Use power rule: $\frac{d}{dx}x^n = nx^{n-1}$.
$f'(x) = \frac{d}{dx}(8x^2 + x) = 16x + 1$

Step2: Substitute $a=3$ into $f'(x)$

$f'(3) = 16(3) + 1$

Step3: Calculate the final value

$16(3) + 1 = 48 + 1 = 49$

Answer:

49