What is the d/(dL)((q)((L/4+({K}(q,L))/2)q^3)) ?

The d/(dL)((q)((L/4+({K}(q,L))/2)q^3)) is qq^3(1/4+1/2 d/(dL)({K}(q,L)))

What is the first d/(dL)((q)((L/4+({K}(q,L))/2)q^3)) ?

The first d/(dL)((q)((L/4+({K}(q,L))/2)q^3)) is qq^3(1/4+1/2 d/(dL)({K}(q,L)))

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Popular >

\frac{d}{d L} ((q) ((\frac{L}{4} + \frac{K ( q , L )}{2}) q^{3}))

q q^{3} (\frac{1}{4} + \frac{1}{2} \frac{d}{d L} (K (q, L)))

Solution steps

\frac{d}{d L} ((q) ((\frac{L}{4} + \frac{K ( q , L )}{2}) q^{3}))

Treat

q

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= q q^{3} \frac{d}{d L} (\frac{L}{4} + \frac{K ( q , L )}{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= q q^{3} (\frac{d}{d L} (\frac{L}{4}) + \frac{d}{d L} (\frac{K ( q , L )}{2}))

\frac{d}{d L} (\frac{L}{4}) = \frac{1}{4}

\frac{d}{d L} (\frac{K ( q , L )}{2}) = \frac{1}{2} \frac{d}{d L} (K (q, L))

= q q^{3} (\frac{1}{4} + \frac{1}{2} \frac{d}{d L} (K (q, L)))

(7^{2})^{3}

\frac{x}{( 2 x + a ) ^{2}}

\frac{3 ( - 17 - 5 x )}{4}

(x - 2) (1 + 3 x - 5)

C (- 5, - 12)

What is the d/(dL)((q)((L/4+({K}(q,L))/2)q^3)) ?
The d/(dL)((q)((L/4+({K}(q,L))/2)q^3)) is qq^3(1/4+1/2 d/(dL)({K}(q,L)))
What is the first d/(dL)((q)((L/4+({K}(q,L))/2)q^3)) ?
The first d/(dL)((q)((L/4+({K}(q,L))/2)q^3)) is qq^3(1/4+1/2 d/(dL)({K}(q,L)))