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Take a derivative. 1. f(x)=(x²+2x)√x 2. f(x) = (x+1) 4x+7 3. f(x) = (x+1)(√x-D(²+4)

Take a derivative. 1. f(x)=(x²+2x)√x 2. f(x) = (x+1) 4x+7 3. f(x) = (x+1)(√x-D(²+4)

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
Problem 1E
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PLTL, MAT 131 * f(x)=keR⇒f'(x)=0 f(x)=x⇒f'(x)=1 f(x)=x*→ f'(x)= kxx-1 ƒ(x)=-=-=>ƒ'(x)=- — / 1 ƒ(x)=√x⇒ƒ'(x) = 2√x f(x)=lnx= f'(x)= Take a derivative. X f(x)=log x= f'(x)=- 1. f(x)=(x²+2x)√√x 2. f(x)=(x+1) 4x+7 3. 1 xlna √3x-1 -x²+3 f(x)=(x+1)(√x-1)(²+4) 4. f(x)= √x + 2x ²-1 5. f(x)=√√2x²+2x-1 6. f(x)= f(x)=e*f'(x)=e* f(x)=d⇒f'(x) = a* Ina f(x)=sinx⇒ f'(x) = cos x f(x)=cosx f'(x)=-sinx f(x)=tanx⇒ f'(x)=sec² x=1+tan² x 1 √1-x² 1 1+x² f(x)= arcsinx⇒ƒ'(x)=- f(x)= arctan x⇒f'(x)=
Transcribed Image Text:PLTL, MAT 131 * f(x)=keR⇒f'(x)=0 f(x)=x⇒f'(x)=1 f(x)=x*→ f'(x)= kxx-1 ƒ(x)=-=-=>ƒ'(x)=- — / 1 ƒ(x)=√x⇒ƒ'(x) = 2√x f(x)=lnx= f'(x)= Take a derivative. X f(x)=log x= f'(x)=- 1. f(x)=(x²+2x)√√x 2. f(x)=(x+1) 4x+7 3. 1 xlna √3x-1 -x²+3 f(x)=(x+1)(√x-1)(²+4) 4. f(x)= √x + 2x ²-1 5. f(x)=√√2x²+2x-1 6. f(x)= f(x)=e*f'(x)=e* f(x)=d⇒f'(x) = a* Ina f(x)=sinx⇒ f'(x) = cos x f(x)=cosx f'(x)=-sinx f(x)=tanx⇒ f'(x)=sec² x=1+tan² x 1 √1-x² 1 1+x² f(x)= arcsinx⇒ƒ'(x)=- f(x)= arctan x⇒f'(x)=
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