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Math graph question and differentiation.?
what is the dy/dx of the graph y=2^x?
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- Anonymous1 decade agoFavorite Answer
Try with d(a^v)/dx = a^v * lna * dv/dx, then a = 2; v = x
so, y' = dy/dx = 2^x * ln2 * dx/dx = 2^x * ln2
- anwarLv 61 decade ago
y=2^x
take ln of both sides
lny =xln2
now
1/y dy/dx =ln2
and dy/dx=yln2
..............=2x^2 ln2
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