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Popular >

derivative of f(x)=(4x^2+3)(4x-5)

Solution

derivative of

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

Solution

48 x^{2} - 40 x + 12

Solution steps

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

Apply the Product Rule:

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

f = 4 x^{2} + 3, g = 4 x - 5

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

\frac{d}{d x} (4 x^{2} + 3) = 8 x

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

= 8 x (4 x - 5) + 4 (4 x^{2} + 3)

Simplify

8 x (4 x - 5) + 4 (4 x^{2} + 3) : 48 x^{2} - 40 x + 12

= 48 x^{2} - 40 x + 12

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x \to 0 lim (\frac{( 8 ^{x} - 1 )}{x})

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\int_{- 3}^{6} 3 + x d x

(\partial)/(\partial x)(e^{9z})

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(4x^2+3)(4x-5) ?
The derivative of f(x)=(4x^2+3)(4x-5) is 48x^2-40x+12
What is the first derivative of f(x)=(4x^2+3)(4x-5) ?
The first derivative of f(x)=(4x^2+3)(4x-5) is 48x^2-40x+12