Question

F(x)=6x2+x ; a=8

Compute f’(a) algebraic ally for the given value of a

Answer 1

97

Explanation:

First find the value of f'(x) then replace x with a.

f(x) = 6x² + x

using the derivative:

`\boxed{ \mathfrak{\blue{f'(x) = n( {x}^(n - 1) )} } }`

`\boxed{ \red{ \mathfrak{if \: f(x) = {x}^(n) } } }`

`f'(x) = 6 ( {2x})^((2 - 1)) + 1(x ^(1 - 1) )`

f'(x) = 6(2x) + 1

f'(x) = 12x + 1

now replace x with a which is said to be 8

f'(a) = 12× 8 + 1

f'(x) = 96 + 1

f'(x) = 97