Evaluate
6\cos(6x)
Differentiate w.r.t. x
-36\sin(6x)
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\cos(6x^{1})\frac{\mathrm{d}}{\mathrm{d}x}(6x^{1})
If F is the composition of two differentiable functions f\left(u\right) and u=g\left(x\right), that is, if F\left(x\right)=f\left(g\left(x\right)\right), then the derivative of F is the derivative of f with respect to u times the derivative of g with respect to x, that is, \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right).
\cos(6x^{1})\times 6x^{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}.
6\cos(6x^{1})
Simplify.
6\cos(6x)
For any term t, t^{1}=t.
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