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Welcome to the Derivatives Chain Rule Practice Quiz! In this quiz, you will tackle various derivative problems to sharpen your calculus skills. Carefully read each exercise and solve it on paper before selecting your answer. If you choose correctly, proceed to the next question, but if not, give it another try! From finding derivatives of trigonometric functions to calculating tangent lines, this quiz covers essential concepts of derivatives. Let's get started and see how well you can apply your calculus knowledge!
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DerivativesChain Rule Practice Quiz #1 Ms. Plata Click here for Instructions
Instructions • Read each exercise carefully • Solve it on a sheet of paper before selecting an answer. • If your answer is correct click the arrow on the right hand corner to continue with the quiz. • If your answer is incorrect, try to solve it again and select another answer.
1. Find the derivative of the function y=cot(x/2): A. y’=csc^2 x B. y’=-1/2csc^2 x C. y’=-1/2csc^2(x/2) D. None of the above
2. If f(x)=tan(cos x), find f’(x). A. y’=-sinxSec^2(cosx) B. y’=sinx sec^2(cosx) C. y’=-sinxtanx D. None of the above
3. Find the derivative of the function: F(x)=(x^3+4x)^7 A. F’(x)=(3x^2+4) B. F’(x)=x^3+4x C. F’(x)=7(x^3+4x)^6(3x^2) D. F’(x)=7(x^3+4x)^6(3x^2+4)
4. Find the equation of the tangent line to the curve y=sin(sinx)at the point (π,0) A. y=-x-π B. y=1/2x+π C. y=x+π D. y=-x+π