Question

  Tính đạo hàm của các hàm số sau

```plaintext
c) \( y = e^{3x+1} \).

f) \( y = x^2 \cdot \log_3 x \);
```

Answer 1

c: \(y=e^{3x+1}\)

=>\(y'=e^{3x+1}\cdot\left(3x+1\right)'=3\cdot e^{3x+1}\)

f: \(y=x^2\cdot log_3x\)

=>\(y'=\left(x^2\right)'\cdot log_3x+x^2\cdot\left(log_3x\right)'\)

=>\(y'=2x\cdot log_3x+x^2\cdot\dfrac{1}{3\cdot ln2}\)

Answer 2

\(c.y=e^{3x+1}\Rightarrow y'=\left(3x+1\right)'.e^{3x+1}=3e^{3x+1}\)

\(f.y=x^2.log_3x\Rightarrow y'=2x.log_3x+x^2.\dfrac{1}{xln3}=2x.log_3x+\dfrac{x}{ln3}\)