Question

if d=1/x power6 then dy/dx=?

A) 6/x power 6
B) -6/x power 7
C) 7/x power 6
D) -7/x power 6
step by step solution​

Answer 1

Explanation:

differentiate using the

power rule

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

a

a

d

d

x

(

a

x

n

)

=

n

a

x

n

−

1

a

a

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−−

and

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

a

a

d

d

x

(

constant

)

=

0

a

a

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−

y

=

a

x

2

+

b

x

+

c

←

c is a constant

⇒

d

y

d

x

=

2

a

x

2

−

1

+

b

x

1

−

1

+

0

=

2

a

x

1

+

b

x

0

+

0

=

2

a

x

+

b