Help. i dont know how a log works here Find the derivative of the function. y = 8^( 8 − x ^2)?

2016-10-02 5:27 am

回答 (1)

2016-10-02 5:41 am
 
y = 8^(8−x²)
ln y = ln(8^(8−x²))
ln y = (8−x²) ln(8)

Differentiate both sides:
1/y dy/dx = −2x ln(8)
dy/dx = −2x ln(8) y
dy/dx = −2x ln(8) 8^(8−x²)


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