What is the derivative of-3x(5x+4)^6 ?

The derivative of-3x(5x+4)^6 is -3((5x+4)^6+30x(5x+4)^5)

What is the first derivative of-3x(5x+4)^6 ?

The first derivative of-3x(5x+4)^6 is -3((5x+4)^6+30x(5x+4)^5)

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derivative of

- 3 x (5 x + 4)^{6}

- 3 ((5 x + 4)^{6} + 30 x (5 x + 4)^{5})

Solution steps

\frac{d}{d x} (- 3 x (5 x + 4)^{6})

Take the constant out:

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

= - 3 \frac{d}{d x} (x (5 x + 4)^{6})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = (5 x + 4)^{6}

= - 3 (\frac{d x}{d x} (5 x + 4)^{6} + \frac{d}{d x} ((5 x + 4)^{6}) x)

\frac{d x}{d x} = 1

\frac{d}{d x} ((5 x + 4)^{6}) = 30 (5 x + 4)^{5}

= - 3 (1 \cdot (5 x + 4)^{6} + 30 (5 x + 4)^{5} x)

Simplify

= - 3 ((5 x + 4)^{6} + 30 x (5 x + 4)^{5})

\int 13 x d x

f (t) = e^{6 t s i n (2 t)}

y^{^{''}} - 8 y^{^{'}} - 9 y = 0

\frac{d}{d x} (- i e^{- i x})

x \to 3 - lim (\frac{x - 3}{x - 3})

What is the derivative of-3x(5x+4)^6 ?
The derivative of-3x(5x+4)^6 is -3((5x+4)^6+30x(5x+4)^5)
What is the first derivative of-3x(5x+4)^6 ?
The first derivative of-3x(5x+4)^6 is -3((5x+4)^6+30x(5x+4)^5)