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Questions and Answers
What is the derivative of $f(x) = (3x - 5x^2)^7$?
What is the derivative of $f(x) = (3x - 5x^2)^7$?
- $7(3-10x)^6 + 14x$
- $7(3-10x)^6$
- $7(3-10x)(3x-5x^2)^6 + 14x$
- $7(3-10x)(3x-5x^2)^6$ (correct)
What is the derivative of $f(x) = 3(x^2 - 1)^2$?
What is the derivative of $f(x) = 3(x^2 - 1)^2$?
- $6x(x^2-1)$ (correct)
- $6(x^2-1)$
- $6x(x^2-1) + 4x$
- $6(x^2-1) + 4x$
What is the derivative of $f(t) = -7(2t-3)^2$?
What is the derivative of $f(t) = -7(2t-3)^2$?
- $14(2t-3)^{-3}$
- $14(2t-3)$
- $-14(2t-3)$ (correct)
- $-14(2t-3)^{-3}$
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?
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?
What is the derivative of $f(x) = xrac{1-x^2}{2}$ using the product rule?
What is the derivative of $f(x) = xrac{1-x^2}{2}$ using the product rule?
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