Question

найдите производную функции:1)у=х^6-13х^4+11
2)у=х^3+sinx
3)y=27x^5+19x^3+61
4)y=x/cosx
5)y=x^8+12x^3+16x^2
6)y=2x sinx
7)y=12x^4-17x^3+27
8)y=sinx/x

Answer 1

$1.,y=x^6-13x^4+11\y'=6x^5-52x^3\\2.,y=x^3+sinx\y'=3x^2+cosx\\3.,y=27x^5+19x^3+61\y'=135x^4+57x^2\\4., y=x/cosx=x*cos^{-1}x\y'=cos^{-1}x+x*cos^{-2}x*sinx\\5.,y=x^8+12x^3+16x^2\y'=8x^7+36x^2+32x\\6., y=2x*sinx\y'=2*sinx+2x*cosx\\7.,y=12x^4-17x^3+27\y'=48x^3-51x^2\\8.,y=frac{sinx}{x}=x^{-1}*sinx\y'=-x^{-2}*sinx+x^{-1}*cosx$