Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

 Let f(x) = (-6x^6\sqrt(x))+(8)(x^(3)\sqrt(x)). Find f'(x).

Sagot :

kate200468
[tex]f(x) =-6x^6\sqrt{x}+8x^3 \sqrt{x}\\\\f'(x) =\bigg(-6x^6\sqrt{x}+8x^3 \sqrt{x}\bigg)'=\bigg(-6x^6\cdot x^{ \frac{1}{2} }\bigg)'+\bigg(8x^3\cdot x^{ \frac{1}{2} }\bigg)'=\\\\=-6\cdot \bigg(x^{6 \frac{1}{2} }\bigg)'+8\cdot \bigg(x^{3 \frac{1}{2} }\bigg)'=-6\cdot 6 \frac{1}{2}\cdot x^{5 \frac{1}{2} }+8\cdot 3 \frac{1}{2} \cdot x^{2 \frac{1}{2} }=\\\\=-39x^5 \sqrt{x} +28x^2 \sqrt{x} [/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.