Question

Differentiate with respect to X.
a)7x√x​

Answer 1

Answer:

y=7x√x

=7x.x1/2

=7x^(1+1/2)

=7x^3/2

so , y=7x^3/2

dy/dx=7.3/2x^(3/2-1)

dy/dx=21/2.x^1/2=21/2√x

Answer 2

Answer:

(21/2)×x^(1/2)

Step-by-step explanation:

7x√x

we can write the above equation like this also:

7x√x=7x^1x^(1/2)

=7x^(1+(1/2)) base is same so we can add power

=7x^(3/2)

differentiate equation 7x^(3/2) with respect to x

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

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

=7×(3/2)x^(3/2 -1)

=21/2x^(1/2)