Consider the function f (x) = 212 + 12e. a) What is the derivative of f at z 0? f'(0) = Number b) Using the (correct) value of f' (0). give the equation of the tangent line to the curve y = f (x) at the point (0, f (0)) = (0,12). The equation for the tangent line is: FORMATTING: Your answer must be in the form of an equation for y in terms of r , that is, of the form "y = mz +b" (without the quotation marks).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the function
f (x) = a12
+ 12e".
a) What is the derivative of f at a = 0?
f' (0) = Number
b) Using the (correct) value of f' (0), give the equation of the tangent line to the
curve y = f (x) at the point (0, f (0)) = (0, 12).
The equation for the tangent line is:
FORMATTING: Your answer must be in the form of an equation for y in terms
of a , that is, of the form "y = ma + b" (without the quotation marks).
Transcribed Image Text:Consider the function f (x) = a12 + 12e". a) What is the derivative of f at a = 0? f' (0) = Number b) Using the (correct) value of f' (0), give the equation of the tangent line to the curve y = f (x) at the point (0, f (0)) = (0, 12). The equation for the tangent line is: FORMATTING: Your answer must be in the form of an equation for y in terms of a , that is, of the form "y = ma + b" (without the quotation marks).
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