What is the derivative of (4-3x^2)^5 ?

The derivative of (4-3x^2)^5 is -30x(4-3x^2)^4

What is the first derivative of (4-3x^2)^5 ?

The first derivative of (4-3x^2)^5 is -30x(4-3x^2)^4

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derivative of

(4 - 3 x^{2})^{5}

- 30 x (4 - 3 x^{2})^{4}

Solution steps

\frac{d}{d x} ((4 - 3 x^{2})^{5})

Apply the chain rule:

5 (4 - 3 x^{2})^{4} \frac{d}{d x} (4 - 3 x^{2})

= 5 (4 - 3 x^{2})^{4} \frac{d}{d x} (4 - 3 x^{2})

\frac{d}{d x} (4 - 3 x^{2}) = - 6 x

= 5 (4 - 3 x^{2})^{4} (- 6 x)

Simplify

= - 30 x (4 - 3 x^{2})^{4}

g (z) = 10 tan (z) - 2 cot (z)

\frac{d}{d t} (t^{5} + 3 t^{- 2} + sin (t))

- cosh^{62} (x)

\frac{6 x - x ^{2}}{x ^{2} - 1}

\frac{2 x ( x + 2 )}{( x + 1 ) ^{2}}

What is the derivative of (4-3x^2)^5 ?
The derivative of (4-3x^2)^5 is -30x(4-3x^2)^4
What is the first derivative of (4-3x^2)^5 ?
The first derivative of (4-3x^2)^5 is -30x(4-3x^2)^4