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Popular >

d/(dq)(({R}(q))(q^4+1)^7)

Solution

\frac{d}{d q} ((R (q)) (q^{4} + 1)^{7})

Solution

\frac{d}{d q} (R (q)) (q^{4} + 1)^{7} + 28 q^{3} (q^{4} + 1)^{6} R (q)

Solution steps

\frac{d}{d q} ((R (q)) (q^{4} + 1)^{7})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = R (q), g = (q^{4} + 1)^{7}

= \frac{d}{d q} (R (q)) (q^{4} + 1)^{7} + \frac{d}{d q} ((q^{4} + 1)^{7}) R (q)

\frac{d}{d q} ((q^{4} + 1)^{7}) = 28 q^{3} (q^{4} + 1)^{6}

= \frac{d}{d q} (R (q)) (q^{4} + 1)^{7} + 28 q^{3} (q^{4} + 1)^{6} R (q)

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Frequently Asked Questions (FAQ)

What is the d/(dq)(({R}(q))(q^4+1)^7) ?
The d/(dq)(({R}(q))(q^4+1)^7) is d/(dq)({R}(q))(q^4+1)^7+28q^3(q^4+1)^6{R}(q)
What is the first d/(dq)(({R}(q))(q^4+1)^7) ?
The first d/(dq)(({R}(q))(q^4+1)^7) is d/(dq)({R}(q))(q^4+1)^7+28q^3(q^4+1)^6{R}(q)