5 Questions
What is the derivative of $f(x) = (3x - 5x^2)^7$?
$7(3-10x)(3x-5x^2)^6$
What is the derivative of $f(x) = 3(x^2 - 1)^2$?
$6x(x^2-1)$
What is the derivative of $f(t) = -7(2t-3)^2$?
$-14(2t-3)$
What is the derivative of $f(x) = rac{3x^2-x+1}{(3x^2-x+1)^{1/3}}$ using the outside/inside method of chain rule?
$rac{(6x-1)(3x^2-x+1)^{2/3}}{(3x^2-x+1)^{1/3}}$
What is the derivative of $f(x) = xrac{1-x^2}{2}$ using the product rule?
$rac{x+x^3}{2}$
Test your knowledge of the product rule in differentiation with these examples. Learn how to differentiate expressions using the product rule and solve for the derivative of various functions.
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