Explore BrainMass

# Derivatives, Limits and Equation of Tangent Lines

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

1. Use the limit definition to find f'(x) for f(x) = ? (show all work).

2. Write the limit definition of derivative: f'(x) = lim

3. For the function f(x) = , use the limit definition of derivative to find the slope of the tangent line to the function at x=4.

Show all steps for full credit.

(b) Find the equation of the tangent line to f(x) at x=4. Show all work.

See the attached file.
{"ft_lang_label":"__label__en","ft_lang_prob":0.85193914,"math_prob":0.95095694,"size":888,"snap":"2022-27-2022-33","text_gpt3_token_len":231,"char_repetition_ratio":0.14932127,"word_repetition_ratio":0.015037594,"special_character_ratio":0.25563064,"punctuation_ratio":0.15300547,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.98694026,"pos_list":[0],"im_url_duplicate_count":[null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2022-08-11T15:07:25Z\",\"WARC-Record-ID\":\"<urn:uuid:1ac16967-0618-4aa0-89fc-49eafd3bfecd>\",\"Content-Length\":\"332091\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:8c8ec4ab-bf13-45e5-81e4-478345f06617>\",\"WARC-Concurrent-To\":\"<urn:uuid:eec09ba1-6609-42fa-822f-c47adb3733e3>\",\"WARC-IP-Address\":\"104.26.5.245\",\"WARC-Target-URI\":\"https://brainmass.com/math/derivatives/derivatives-limits-equation-tangent-lines-229754\",\"WARC-Payload-Digest\":\"sha1:X5IPILUB5CR2UJUBW3F6PECRH65EZQ3T\",\"WARC-Block-Digest\":\"sha1:CC7D3AANHUBN4JRKJOIVDNMNU5YN3IKE\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2022/CC-MAIN-2022-33/CC-MAIN-2022-33_segments_1659882571472.69_warc_CC-MAIN-20220811133823-20220811163823-00296.warc.gz\"}"}