How do you differentiate f(x)=x√4−x2 using the product rule? Calculus Basic Differentiation Rules Product Rule 1 Answer S S. Feb 15, 2018 −x2√4−x2+√4−x2 Explanation: ddx(x√4−x2)=xddx(√4−x2)+ddx(x)√4−x2=x(12(4−x2)−12(−2x)+1√4−x2=−x2√4−x2+√4−x2 Answer link Related questions What is the Product Rule for derivatives? How do you apply the product rule repeatedly to find the derivative of f(x)=(x−3)(2−3x)(5−x) ? How do you use the product rule to find the derivative of y=x2⋅sin(x) ? How do you use the product rule to differentiate y=cos(x)⋅sin(x) ? How do you apply the product rule repeatedly to find the derivative of f(x)=(x4+x)⋅ex⋅tan(x) ? How do you use the product rule to find the derivative of y=(x3+2x)⋅ex ? How do you use the product rule to find the derivative of y=√x⋅cos(x) ? How do you use the product rule to find the derivative of y=(1x2−3x4)⋅(x+5x3) ? How do you use the product rule to find the derivative of y=√x⋅ex ? How do you use the product rule to find the derivative of y=x⋅ln(x) ? See all questions in Product Rule Impact of this question 1740 views around the world You can reuse this answer Creative Commons License