What is the derivative of y=3sqrt(a-b^2)x^4 ?

The derivative of y=3sqrt(a-b^2)x^4 is 12x^3sqrt(a-b^2)

What is the first derivative of y=3sqrt(a-b^2)x^4 ?

The first derivative of y=3sqrt(a-b^2)x^4 is 12x^3sqrt(a-b^2)

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derivative of

y = 3 a - b^{2} x^{4}

12 x^{3} a - b^{2}

Solution steps

\frac{d}{d x} (3 a - b^{2} x^{4})

Take the constant out:

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

= 3 a - b^{2} \frac{d}{d x} (x^{4})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 3 a - b^{2} \cdot 4 x^{4 - 1}

Simplify

= 12 x^{3} a - b^{2}

x \to - 2 lim ((x + 2)^{5} (2 x^{2}))

\frac{\partial}{\partial x} (\frac{- x}{y ^{2}})

\frac{d}{d x} (\frac{6}{x ^{7}})

h \to 1 lim (\frac{h ^{3} - 1}{h - 1})

x \to 3 lim (- 3 x^{3} + 9 x + 5 x - 5)

What is the derivative of y=3sqrt(a-b^2)x^4 ?
The derivative of y=3sqrt(a-b^2)x^4 is 12x^3sqrt(a-b^2)
What is the first derivative of y=3sqrt(a-b^2)x^4 ?
The first derivative of y=3sqrt(a-b^2)x^4 is 12x^3sqrt(a-b^2)