Evaluate
y
Differentiate w.r.t. y
1
শেয়ার করুন
ক্লিপবোর্ডে কপি করা হয়েছে
\frac{x^{1}y^{2}}{x^{1}y^{1}}
Use the rules of exponents to simplify the expression.
x^{1-1}y^{2-1}
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
x^{0}y^{2-1}
Subtract 1 from 1.
x^{0}y^{1}
Subtract 1 from 2.
y
For any number a except 0, a^{0}=1.
\frac{\mathrm{d}}{\mathrm{d}y}(\frac{x}{x}y^{2-1})
To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.
\frac{\mathrm{d}}{\mathrm{d}y}(y^{1})
Do the arithmetic.
y^{1-1}
The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.
y^{0}
Do the arithmetic.
1
For any term t except 0, t^{0}=1.
উদাহরণ
দ্বিঘাত সমীকরণ
{ x } ^ { 2 } - 4 x - 5 = 0
ত্রিকোণমিতি
4 \sin \theta \cos \theta = 2 \sin \theta
রৈখিক সমীকরণ
y = 3x + 4
পাটিগণিত
699 * 533
মেট্রিক্স
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
সমকালীন সমীকরণ
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
ডিফারেন্সিয়েশন
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
ইন্টিগ্রেশন
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
লিমিট
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}