What is the derivative of f(x)=(x^6+4)^5 ?

The derivative of f(x)=(x^6+4)^5 is 30x^5(x^6+4)^4

What is the first derivative of f(x)=(x^6+4)^5 ?

The first derivative of f(x)=(x^6+4)^5 is 30x^5(x^6+4)^4

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derivative of

f (x) = (x^{6} + 4)^{5}

30 x^{5} (x^{6} + 4)^{4}

Solution steps

\frac{d}{d x} ((x^{6} + 4)^{5})

Apply the chain rule:

5 (x^{6} + 4)^{4} \frac{d}{d x} (x^{6} + 4)

= 5 (x^{6} + 4)^{4} \frac{d}{d x} (x^{6} + 4)

\frac{d}{d x} (x^{6} + 4) = 6 x^{5}

= 5 (x^{6} + 4)^{4} \cdot 6 x^{5}

Simplify

= 30 x^{5} (x^{6} + 4)^{4}

2 (3 t + 1)^{\frac{1}{2}}

5 x^{2} + 2 x - 1

\frac{d}{d t} (0.3 cos (30 t))

w \cdot r t x arcsin (+ arccos (x))

\frac{d}{d x} (\frac{1}{8 \cdot ( - 8 x ) - 2 x})

What is the derivative of f(x)=(x^6+4)^5 ?
The derivative of f(x)=(x^6+4)^5 is 30x^5(x^6+4)^4
What is the first derivative of f(x)=(x^6+4)^5 ?
The first derivative of f(x)=(x^6+4)^5 is 30x^5(x^6+4)^4