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Popular >

derivative of 3(4-9x^4)

Solution

\frac{d}{d x} (3 (4 - 9 x)^{4})

Solution

- 108 (4 - 9 x)^{3}

Solution steps

\frac{d}{d x} (3 (4 - 9 x)^{4})

Take the constant out:

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

= 3 \frac{d}{d x} ((4 - 9 x)^{4})

Apply the chain rule:

4 (4 - 9 x)^{3} \frac{d}{d x} (4 - 9 x)

= 4 (4 - 9 x)^{3} \frac{d}{d x} (4 - 9 x)

\frac{d}{d x} (4 - 9 x) = - 9

= 3 \cdot 4 (4 - 9 x)^{3} (- 9)

Simplify

= - 108 (4 - 9 x)^{3}

Popular Examples

integral of (7e^{7x})/(1+e^{7x)}

\int \frac{7 e ^{7 x}}{1 + e ^{7 x}} d x

limit as x approaches 0 of (tan(12x))/(sin(4x))

x \to 0 lim (\frac{tan ( 12 x )}{sin ( 4 x )})

(\partial)/(\partial x)(ye^x-x^2y^{-3})

\frac{\partial}{\partial x} (y e^{x} - x^{2} y^{- 3})

tangent of y=(4x)/(x^2+1),(0,0)tangent of

y = \frac{4 x}{x ^{2} + 1}, (0, 0)

limit as x approaches-1 of x^2-2x+3

x \to - 1 lim (x^{2} - 2 x + 3)

Frequently Asked Questions (FAQ)

What is the derivative of 3(4-9x^4) ?
The derivative of 3(4-9x^4) is -108(4-9x)^3
What is the first derivative of 3(4-9x^4) ?
The first derivative of 3(4-9x^4) is -108(4-9x)^3