Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

f(x)=(x^(2)+x)^(10)(2x+1)

22. f(x)=(x2+x)10(2x+1) f(x)=\left(x^{2}+x\right)^{10}(2 x+1)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Add and subtract polynomialsright chevron icon

Full solution

Q. 22. f(x)=(x2+x)10(2x+1) f(x)=\left(x^{2}+x\right)^{10}(2 x+1)
  1. Identify Function Components: Identify the function components to apply the product rule for differentiation: f(x)=u(x)v(x)f(x) = u(x)v(x), where u(x)=(x2+x)10u(x) = (x^2 + x)^{10} and v(x)=(2x+1)v(x) = (2x + 1).
  2. Differentiate u(x)u(x): Differentiate u(x)=(x2+x)10u(x) = (x^2 + x)^{10} using the chain rule: u′(x)=10(x2+x)9⋅(2x+1)u'(x) = 10(x^2 + x)^9 \cdot (2x + 1).

More problems from Add and subtract polynomials

Question
Find the degree of this polynomial.\newline`5b^{10} + 3b^3`\newline_______
Get tutor helpright-arrow

Posted 2 months ago

Question
Subtract.\newline(9a+5)−(2a+4)(9a + 5) - (2a + 4)\newline____
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the product. Simplify your answer. \newline−3v2(v2−9)-3v^2(v^2 - 9)\newline________
Get tutor helpright-arrow

Posted 1 month ago

Question
Find the product. Simplify your answer.\newline(v−3)(4v+1)(v - 3)(4v + 1)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the square. Simplify your answer.\newline(3y+2)2(3y + 2)^2\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Divide. If there is a remainder, include it as a simplified fraction.\newline(24t2+36t)÷6t(24t^2 + 36t) \div 6t\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Is the function q(x)=x6−9 q(x) = x^6 - 9 even, odd, or neither?\newlineChoices:\newline[[even][odd][neither]]\text{[[even][odd][neither]]}
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the product. Simplify your answer. \newline−3q2(−3q2+q)-3q^2(-3q^2 + q)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the product. Simplify your answer.\newline(r+3)(4r+2)(r + 3)(4r + 2)\newline______
Get tutor helpright-arrow

Posted 2 months ago

Question
Find the roots of the factored polynomial.\newline(x+7)(x+4)(x + 7)(x + 4)\newlineWrite your answer as a list of values separated by commas.\newlinex=x = ____
Get tutor helpright-arrow

Posted 2 months ago

View all (134)