Evaluate
\frac{24x^{3}}{125}
Differentiate w.r.t. x
\frac{72x^{2}}{125}
গ্রাফ
শেয়ার করুন
ক্লিপবোর্ডে কপি করা হয়েছে
x^{2}\times \frac{4}{5}\times \frac{2}{5}x\times \frac{3}{5}
Multiply x and x to get x^{2}.
x^{3}\times \frac{4}{5}\times \frac{2}{5}\times \frac{3}{5}
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
x^{3}\times \frac{4\times 2}{5\times 5}\times \frac{3}{5}
Multiply \frac{4}{5} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.
x^{3}\times \frac{8}{25}\times \frac{3}{5}
Do the multiplications in the fraction \frac{4\times 2}{5\times 5}.
x^{3}\times \frac{8\times 3}{25\times 5}
Multiply \frac{8}{25} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.
x^{3}\times \frac{24}{125}
Do the multiplications in the fraction \frac{8\times 3}{25\times 5}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{2}\times \frac{4}{5}\times \frac{2}{5}x\times \frac{3}{5})
Multiply x and x to get x^{2}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{4}{5}\times \frac{2}{5}\times \frac{3}{5})
To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{4\times 2}{5\times 5}\times \frac{3}{5})
Multiply \frac{4}{5} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{8}{25}\times \frac{3}{5})
Do the multiplications in the fraction \frac{4\times 2}{5\times 5}.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{8\times 3}{25\times 5})
Multiply \frac{8}{25} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{\mathrm{d}}{\mathrm{d}x}(x^{3}\times \frac{24}{125})
Do the multiplications in the fraction \frac{8\times 3}{25\times 5}.
3\times \frac{24}{125}x^{3-1}
The derivative of ax^{n} is nax^{n-1}.
\frac{72}{125}x^{3-1}
Multiply 3 times \frac{24}{125}.
\frac{72}{125}x^{2}
Subtract 1 from 3.
উদাহরণ
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লিমিট
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