Find the gradient of the curve y=4x-7 at the point (1,-3) ANSWER FAS PLEASE
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Given : curve y=4x-7 or y = 4x² - 7
To find : gradient of the curve at point (1 , - 3)
Solution:
gradient of the curve at any point = Slope of curve at that point
curve y=4x-7
This is not a curve but a line
and a line has Same slope irrespective of the point
y = 4x - 7 has Slope = 4 ( comparing with y = mx + c)
or
dy/dx = 4 ( gradient = Slope = 4)
Let say Curve was
y = 4x² - 7
dy/dx = 8x
Gradient at (1 , -3) = 8(1) = 8
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