What is the derivative of b(x+a^3+c) ?

The derivative of b(x+a^3+c) is 3b(x+a)^2

What is the first derivative of b(x+a^3+c) ?

The first derivative of b(x+a^3+c) is 3b(x+a)^2

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\frac{d}{d x} (b (x + a)^{3} + c)

3 b (x + a)^{2}

Solution steps

\frac{d}{d x} (b (x + a)^{3} + c)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (b (x + a)^{3}) + \frac{d c}{d x}

\frac{d}{d x} (b (x + a)^{3}) = 3 b (x + a)^{2}

\frac{d c}{d x} = 0

= 3 b (x + a)^{2} + 0

Simplify

= 3 b (x + a)^{2}

\frac{\partial}{\partial x} (x y e^{\frac{x}{y}})

x \to \infty lim (x \cdot 2)

\frac{\partial}{\partial x} (x^{4} + y^{4} + z^{4} - 4 x yz)

\int_{0}^{\frac{π}{4}} cos^{7} (x) d x

What is the derivative of b(x+a^3+c) ?
The derivative of b(x+a^3+c) is 3b(x+a)^2
What is the first derivative of b(x+a^3+c) ?
The first derivative of b(x+a^3+c) is 3b(x+a)^2