Question

differentiation of v =(180-7x)1/2

Answer 1

Step-by-step explanation:

given function is, v = ( 180 - 7x)^(1/2)

Differentiation wrt X

dv/dx= d / dx [ ( 180 - 7x) ^ (1/2)]

by using derivative of standard function[ t^n ] , first differentiate ( 180 - 7x) ^( 1/2 )

=)) 1/2 ( 180 - 7x) ^(-1/2)

x d/dx (180 - 7x)

we know, if y = u - v, then dy/dx = (du / dx ) - (dv / dx)

=)) 1/2 ( 180 - 7x)^( -1/2) x ( 0 - 7 )

=)) - 7 ( 1/2 ( 180 - 7x)^( -1/2))

dv / dx = -7/2 ( 180 - 7x)^( -1/2)