Asked by maria
Find and Simplify the difference quotient
f(3+h)-f(3)/h for the function f(x)=-4x^2-7
thanks again
f(3+h)-f(3)/h for the function f(x)=-4x^2-7
thanks again
Answers
Answered by
Anonymous
Someone sure wants you to learn what derivatives are about
f(3+h) = -4(3+h)^2 -7
f(3+h) = -4(9 + 6h + h^2 ) - 7
f(3+h) = -36 - 24 h - 4 h^2 - 7
f(3) = -36 - 7
f(3+h) - f(3) = -24 h - 4 h^2
divide by h
-24 - 4 h
NOTE AGAIN
lrt h--->0
you get slope = -24
which is the value of the derivative (which is -8 x) at x = 3 !!!!
f(3+h) = -4(3+h)^2 -7
f(3+h) = -4(9 + 6h + h^2 ) - 7
f(3+h) = -36 - 24 h - 4 h^2 - 7
f(3) = -36 - 7
f(3+h) - f(3) = -24 h - 4 h^2
divide by h
-24 - 4 h
NOTE AGAIN
lrt h--->0
you get slope = -24
which is the value of the derivative (which is -8 x) at x = 3 !!!!
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