Differentiate w.r.t. r
60r^{3}
Evaluate
15r^{4}
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\frac{\mathrm{d}}{\mathrm{d}r}(15r^{4})
Multiply 5 and 3 to get 15.
4\times 15r^{4-1}
The derivative of ax^{n} is nax^{n-1}.
60r^{4-1}
Multiply 4 times 15.
60r^{3}
Subtract 1 from 4.
15r^{4}
Multiply 5 and 3 to get 15.
Examples
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y = 3x + 4
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Matrix
\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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}