Find the derivative of f(x) = 8x² + 11x at x = 7.

Solution:

Given function:

f(x) = 8x² + 11x

A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element.

A function from A → B and (a,b) ∈ f, then f(a) = b, where 'b' is the image of 'a' under 'f' and 'a' is the pre image of 'b' under 'f'.

A derivative is the rate of change of a quantity y with respect to another quantity x.

A derivative is also termed the differential coefficient of y with respect to x. 

f’(x) = 8(2x) + 11

f’(7) = 8(14) + 11

f’(7) = 112 + 11 = 123

Therefore, the derivative of f(x) = 8x² + 11x at x = 7 is 123.

Find the derivative of f(x) = 8x² + 11x at x = 7.

Summary:

The derivative of f(x) = 8x² + 11x at x = 7 is 123.