Question

HELP СРОЧНО ПОМОГИТЕ дам 25 баллов

Answer 1

Ответ:

$1)\ \ y=8x^4-x^2+7\ \ ,\ \ \ F(x)=\dfrac{8x^5}{5}-\dfrac{x^3}{3}+7x+C\\\\2)\ \ y=3sinx+e^{9x}\ \ ,\ \ \ F(x)=-3cosx+\dfrac{e^{9x}}{9}+C\\\\3)\ \ y=6cos\dfrac{x}{2}-4sin2x\ \ ,\ \ F(x)=12sin\dfrac{x}{2}+2cos2x+C$

$4)\ \ y=\dfrac{1}{5x+1}-8^{x}\ \ ,\ \ F(x)=\dfrac{1}{5}\cdot ln|5x+1|-\dfrac{8^{x}}{ln8}+C$

$5)\ \ f(x)=4x^3-7\ \ \ \to \ \ \ F(x)=x^4-7x+C\\\\A(2;18):\ \ 18=2^4-7\cdot 2+C\ \ \to \ \ \ C=16\\\\F(x)\Big|_A=x^4-7x+16$