Question

find the derivative with respect to X from first principle to X square + 5 x + 4​

Answer 1

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2x + 5

step-by-step explanation:

given,

f(x) = ${x}^{2}+5x+4$

Now,

we have to find the Derivation using first principle of derivative.

we know that,

from first principle of derivative,

f'(x) = lim ( h -> 0) $\frac{f(x+h)-f(x)}{h}$

so,

here,

f(x+h) = ${(x+h)}^{2}$ + 5(x+h) +4

putting this value of f(x) and f(x+h) in the formula,

we get,

f'(x) = 2x + 5

Note :-

The whole process is in attachment.

kindly refer to it...