Derivative of x/y . Please tell with explanation. I will mark him as brainliest
Answers
Answer:
The slope of a constant value (like 3) is always 0
The slope of a line like 2x is 2, or 3x is 3 etc
and so on.
Here are useful rules to help you work out the derivatives of many functions (with examples below). Note: the little mark ’ means "Derivative of", and f and g are functions.
Common Functions Function
Derivative
Constant c 0
Line x 1
ax a
Square x2 2x
Square Root √x (½)x-½
Exponential ex ex
ax ln(a) ax
Logarithms ln(x) 1/x
loga(x) 1 / (x ln(a))
Trigonometry (x is in radians) sin(x) cos(x)
cos(x) −sin(x)
tan(x) sec2(x)
Inverse Trigonometry sin-1(x) 1/√(1−x2)
cos-1(x) −1/√(1−x2)
tan-1(x) 1/(1+x2)
Rules Function
Derivative
Multiplication by constant cf cf’
Power Rule xn nxn−1
Sum Rule f + g f’ + g’
Difference Rule f - g f’ − g’
Product Rule fg f g’ + f’ g
Quotient Rule f/g (f’ g − g’ f )/g2
Reciprocal Rule 1/f −f’/f2
Chain Rule
(as "Composition of Functions") f º g (f’ º g) × g’
Chain Rule (using ’ ) f(g(x)) f’(g(x))g’(x)
Chain Rule (using ddx ) dydx = dydu dudx
"The derivative of" is also