Question

Differentiate with respect to x
a) 7x √x
b) x³ .log x
c) 3⁵

Answer 1

Step-by-step explanation:

(a). 7x.(x)½

= 7(x)^3/2

=d/dx(7x^3/2)

=7×3/2(x)^3/2-1

=21/2(x)½

(b). x³.logx

applying product rule

=x³.d/dx(logx)+logx.d/dx(x³)

=x³.(1/x)+logx.(3x²)

=x²+3x²log.x

(c). 3⁵

=d/dx(3⁵)

=0