IXL - Find second derivatives of trigonometric, exponential, and logarithmic functions (Calculus practice)

Find the second derivative of the function.

(

)

–

sin

(

)

′′

(

)

ref_doc_title.

Learn with an example

question

Find the second derivative of the function.

(

)

–

′′

(

)

key idea

The second derivative of

(

)

is the derivative of

′

(

)

The second derivative is written

′′

(

)

solution

To find the second derivative

′′

(

)

you need to know the first derivative

′

(

)

So, start by taking the derivative of

(

)

to find

′

(

)

′

(

)

(

–

)

′

–

(

)

′

–

(

)

–

Now take the derivative of

′

(

)

to find

′′

(

)

′′

(

)

(

–

)

′

–

(

)

′

–

(

)

–

So,

′′

(

)

–

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Work it out

Not feeling ready yet? These can help:

H.3Find derivatives of sine and cosine functions

H.5Find derivatives of exponential functions

H.6Find derivatives of logarithmic functions

H.7Find derivatives of inverse trigonometric functions

J.1Find higher derivatives of polynomials

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