What is the derivative of (x^2+2^5) ?

The derivative of (x^2+2^5) is 10x(x^2+2)^4

What is the first derivative of (x^2+2^5) ?

The first derivative of (x^2+2^5) is 10x(x^2+2)^4

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\frac{d}{d x} ((x^{2} + 2)^{5})

10 x (x^{2} + 2)^{4}

Solution steps

\frac{d}{d x} ((x^{2} + 2)^{5})

Apply the chain rule:

5 (x^{2} + 2)^{4} \frac{d}{d x} (x^{2} + 2)

= 5 (x^{2} + 2)^{4} \frac{d}{d x} (x^{2} + 2)

\frac{d}{d x} (x^{2} + 2) = 2 x

= 5 (x^{2} + 2)^{4} \cdot 2 x

Simplify

= 10 x (x^{2} + 2)^{4}

x \to 4 - lim (\frac{x - 4}{∣ x - 4 ∣})

y^{2} + 2 x + 2 x y y^{^{'}} = 0

\frac{d r}{d θ} + r tan (θ) = tan (θ)

\frac{d}{d x} (\frac{sin ( x ^{2} )}{x ^{3}})

2 (sin (t) y^{^{'}} + cos (t) y) = cos (t) sin^{3} (t)

What is the derivative of (x^2+2^5) ?
The derivative of (x^2+2^5) is 10x(x^2+2)^4
What is the first derivative of (x^2+2^5) ?
The first derivative of (x^2+2^5) is 10x(x^2+2)^4