Question

Differentiate with respect to x:f(x)=(x+X^5)

1−5x^2
1+5x^4
5x^4−1
x−5x^4

Answer 1

Answer on Question #47148 – Math - Differential Calculus | Equations

Differentiate with respect to $x: f(x) = (x + X^5)$

```

1-5x^2

1+5x^4

5x^4-1

x-5x^4

```

Solution:

We have if

$$f(x) = a * x^n$$

then

$$f'(x) = n * a * x^{n-1}.$$

So we have

$$f(x) = x + x^5$$

Hence

$$f'(x) = 1 + 5 * x^4.$$

Answer: $1 + 5x^4$

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