Question

Differentiate the following with respect to x : (3x + 4)

3
3x
4
x

Answer 1

Answer on Question #47143 – Math - Differential Calculus | Equations

Differentiate the following with respect to $x : (3x + 4)$

3

3x

4

x

Solution:

We have if

$$f(x) = a * x^n, \quad g(x) = C, \quad C \text{ is constant}$$

then

$$f'(x) = n * a * x^{n-1} \quad \text{and} \quad g'(x) = 0.$$

So we have

$$F(x) = f(x) + g(x) = 3x + 4$$

Hence

$$F'(x) = f'(x) + g'(x) = 3.$$

Answer: 3.

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