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Estudos Gerais06/19/2024

2. (4 pontos) Calcule as derivadas das funçoes abaixo: (a) ....

  1. (4 pontos) Calcule as derivadas das funçoes abaixo: (a) f(x)=x5+2x4+x+1f(x)=x^{5}+2 x^{4}+x+1; (b) f(x)=cos(x2+3x+9)f(x)=\cos \left(x^{2}+3 x+9\right); (c) f(x)=e2xsen(x2)f(x)=e^{2 x} \operatorname{sen}\left(x^{2}\right) (d) f(x)=ln(x2+1)x2f(x)=\frac{\ln \left(x^{2}+1\right)}{x^{2}}
  2. (2 pontos) Determine os intervalos de crescimento. cavidades de f:RR,f(x)=x3xf: \mathbb{R} \rightarrow \mathbb{R}, f(x)=x^{3}-x. Faça um

2. (4 pontos) Calcule as derivadas das funçoes abaixo:
(a) \( f(x)=x^{5}+2 x^{4}+x+1 \);
(b) \( f(x)=\cos \left(x^{2}+3 x+9\right) \);
(c) \( f(x)=e^{2 x} \operatorname{sen}\left(x^{2}\right) \)
(d) \( f(x)=\frac{\ln \left(x^{2}+1\right)}{x^{2}} \)
3. (2 pontos) Determine os intervalos de crescimento. cavidades de \( f: \mathbb{R} \rightarrow \mathbb{R}, f(x)=x^{3}-x \). Faça um
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