Question

determine a derivada da função f(x) = 7x^5- 3

Answer 1

$\mathrm{f(x)=7x^5-3\ \to\ f'(x)=7\dfrac{d}{dx}(x^5)-\dfrac{d}{dx}(3)}\\\\ \mathrm{Lembrando\ que:}\\\\ \mathrm{\dfrac{d}{dx}(x^n)=nx^{n-1}\ \ \bigg\| \ \ \dfrac{d}{dx}(c)=0}\\\\\\ \mathrm{Portanto:}\\\\ \mathrm{f'(x)=7.5x^{5-1}-0\ \to\ \mathbf{f'(x)=35x^4}}$