Evaluate
x-2
Differentiate w.r.t. x
1
গ্রাফ
শেয়ার করুন
ক্লিপবোর্ডে কপি করা হয়েছে
\left(\sqrt{x+2}\right)^{2}-2^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
x+2-2^{2}
Calculate \sqrt{x+2} to the power of 2 and get x+2.
x+2-4
Calculate 2 to the power of 2 and get 4.
x-2
Subtract 4 from 2 to get -2.
\frac{\mathrm{d}}{\mathrm{d}x}(\left(\sqrt{x+2}\right)^{2}-2^{2})
Consider \left(\sqrt{x+2}-2\right)\left(\sqrt{x+2}+2\right). Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(x+2-2^{2})
Calculate \sqrt{x+2} to the power of 2 and get x+2.
\frac{\mathrm{d}}{\mathrm{d}x}(x+2-4)
Calculate 2 to the power of 2 and get 4.
\frac{\mathrm{d}}{\mathrm{d}x}(x-2)
Subtract 4 from 2 to get -2.
x^{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}.
x^{0}
Subtract 1 from 1.
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}