Question

cine stie urgent. va rooooooggggggg

Answer 1

a).

f(x) = (x^{5} + x + 1)(x^{2} - x + 1) = x^{7} - x^{6} + x^{5} + x^{3} + 1

f'(x) = 7x^{6} - 6x^{5} + 5x^{4} + 3x^{2}

b)

f(x) = (x²√x) / 2+√x ⇒ f'(x) ⇒

f'(x) = [(2x√x + (x√x}) / 2)(2 + √x) - ((x²√x)/2√x)] / (2 + √x)²

= (2x² + 5x√x)/ (2+√x)²

c).

f(x) = sinx / 1+lnx

f'(x) = [(cosx)(1 + lnx) - (sinx / x)] / (1 + lnx)²

= [(xcosx)(1 + lnx) - sinx] / x(1 + lnx)²

2. f(x) = √u

u = $e^{x}\sqrt{e^{x}\sqrt{e^{x}\sqrt{e^{x}\sqrt{e^{x}\sqrt{e^{x}\sqrt{e^{x}\sqrt{e^{x}\sqrt{e^{x}\sqrt{e^{x}$

f'(x) = $\frac{1023e^{\frac{1023x}{1024}}}{1024}$