IXL - Find derivatives of polynomials (Calculus practice)

Find the derivative of

(

)

(

)

–

Write your answer as a polynomial or a constant. Simplify any fractions.

′

(

)

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Learn with an example

question

Find the derivative of

(

)

(

)

–

Write your answer as a polynomial or a constant. Simplify any fractions.

′

(

)

key idea

Here are some basic derivative rules:

The derivative of a constant is 0:
(
c
)
′
=
0
.
The derivative of
x
is 1:
(
x
)
′
=
1
.
The constant multiple rule says:
(
c
x
)
′
=
c
(
x
)
′
=
c
.

solution

You can find the derivative of

(

)

–

using derivative rules.

′

(

)

(

–

)

′

Apply the difference rule

(

–

)

′

–

(

)

′

Apply the difference rule

Take the derivatives

–

Take the derivatives

–

So,

′

(

)

–

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Not feeling ready yet? These can help:

G.4Power rule I

G.1Sum and difference rules

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