Question

find the derivatives of the following functions (2x³-5x²+6x-3)/x² y=sin^-1(x)+cos^-1(x)-Inx y=5^x-6cosec1/2(x)+3/7(cos5x)-2​

Answer 1

Below

Explanation:

1) The derivative of (2x³-5x²+6x-3)/x² is (6x²-10x+6-3x)/x³

2) The derivative of sin^-1(x)+cos^-1(x)-Inx is (1/(√(1-x²))*dx + (-1/(√(1-x²))*dx )- (1/x)*dx

3) The derivative of 5^x - 6cosec1/2(x) + 3/7(cos5x) - 2 is (ln(5) * 5^x) - (6*(-csc(x)cot(x))dx) + (3/7(-5sin(5x))*dx)