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Derivative of sin^4x, 50 seconds and done!
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Want to learn how to find the derivative of sine raised to the fourth power of X? 🤔 In this video, we will walk you through the step-by-step process of using the chain rule to find the derivative of sin⁴x. First, we'll show you how to apply the chain rule to the function. Then, we'll simplify the expression to get the final answer. 💡 You'll also learn the derivative of sin X and how to use it in the chain rule.
To find the derivative of sin⁴x, we bring the four down and copy the sine X inside the parentheses, raising it to the power of four minus one. We then multiply by the derivative of the inside function, which is cosine X. After simplifying, we end up with the final answer of 4sin³x cos X.
Don't miss out on this easy-to-follow tutorial! Subscribe to our channel for more math videos and hit the like button if you found this helpful. Share with your friends who might need some help with the chain rule.
Keywords derivative of sin⁴x, chain rule, sine X, derivative of sin X, cosine X, math tutorial, math videos, derivative tutorial, calculus tutorial, math help, derivative explained, how to find the derivative, Tom.
Tags #derivative #chainrule #sinex #cosinex #tutorial #calculus #math #derivativetutorial #mathtutorial #mathhelp #education
15 Common Internet Questions
1️⃣ How do you find the derivative of sin⁴x using the chain rule?
Answer To find the derivative of sin⁴x, use the chain rule. Bring the four down, copy the sine X inside the parentheses, raise it to the power of four minus one, then multiply by the derivative of the inside function, which is cosine X.
2️⃣ What is the derivative of sin X?
Answer The derivative of sin X is cos X.
3️⃣ What is the chain rule in calculus?
Answer The chain rule in calculus is a formula used to find the derivative of composite functions.
4️⃣ How do you simplify the derivative of sin⁴x?
Answer After applying the chain rule, simplify the expression to get the final answer of 4sin³x cos X.
5️⃣ What is the power rule in calculus?
Answer The power rule in calculus is a formula used to find the derivative of a function raised to a power.
6️⃣ What is the derivative of cos X?
Answer The derivative of cos X is -sin X.
7️⃣ How do you find the derivative of sin³x?
Answer To find the derivative of sin³x, use the power rule and the derivative of sin X. The final answer will be 3sin²x cos X.
8️⃣ How do you find the derivative of sin²x cos X?
Answer To find the derivative of sin²x cos X, use the product rule and the derivative of sin X. The final answer will be 2sinXcos²X - sin³X.
9️⃣ What is the derivative of sin⁵x?
Answer The derivative of sin⁵x is 5sin⁴x cos X.
🔟 What is the derivative of sin x + cos x?
Answer The derivative of sin x + cos x is cos x - sin x.
1️⃣1️⃣ How do you
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To find the derivative of sin⁴x, we bring the four down and copy the sine X inside the parentheses, raising it to the power of four minus one. We then multiply by the derivative of the inside function, which is cosine X. After simplifying, we end up with the final answer of 4sin³x cos X.
Don't miss out on this easy-to-follow tutorial! Subscribe to our channel for more math videos and hit the like button if you found this helpful. Share with your friends who might need some help with the chain rule.
Keywords derivative of sin⁴x, chain rule, sine X, derivative of sin X, cosine X, math tutorial, math videos, derivative tutorial, calculus tutorial, math help, derivative explained, how to find the derivative, Tom.
Tags #derivative #chainrule #sinex #cosinex #tutorial #calculus #math #derivativetutorial #mathtutorial #mathhelp #education
15 Common Internet Questions
1️⃣ How do you find the derivative of sin⁴x using the chain rule?
Answer To find the derivative of sin⁴x, use the chain rule. Bring the four down, copy the sine X inside the parentheses, raise it to the power of four minus one, then multiply by the derivative of the inside function, which is cosine X.
2️⃣ What is the derivative of sin X?
Answer The derivative of sin X is cos X.
3️⃣ What is the chain rule in calculus?
Answer The chain rule in calculus is a formula used to find the derivative of composite functions.
4️⃣ How do you simplify the derivative of sin⁴x?
Answer After applying the chain rule, simplify the expression to get the final answer of 4sin³x cos X.
5️⃣ What is the power rule in calculus?
Answer The power rule in calculus is a formula used to find the derivative of a function raised to a power.
6️⃣ What is the derivative of cos X?
Answer The derivative of cos X is -sin X.
7️⃣ How do you find the derivative of sin³x?
Answer To find the derivative of sin³x, use the power rule and the derivative of sin X. The final answer will be 3sin²x cos X.
8️⃣ How do you find the derivative of sin²x cos X?
Answer To find the derivative of sin²x cos X, use the product rule and the derivative of sin X. The final answer will be 2sinXcos²X - sin³X.
9️⃣ What is the derivative of sin⁵x?
Answer The derivative of sin⁵x is 5sin⁴x cos X.
🔟 What is the derivative of sin x + cos x?
Answer The derivative of sin x + cos x is cos x - sin x.
1️⃣1️⃣ How do you
Please visit our Merch Stores and help support the spreading of knowledge:)
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