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Popular >

derivative of f(x)=4x^2sin(x)-7x

Solution

derivative of

f (x) = 4 x^{2} sin (x) - 7 x

Solution

4 (2 x sin (x) + cos (x) x^{2}) - 7

Solution steps

\frac{d}{d x} (4 x^{2} sin (x) - 7 x)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (4 x^{2} sin (x)) - \frac{d}{d x} (7 x)

\frac{d}{d x} (4 x^{2} sin (x)) = 4 (2 x sin (x) + cos (x) x^{2})

\frac{d}{d x} (7 x) = 7

= 4 (2 x sin (x) + cos (x) x^{2}) - 7

Popular Examples

integral from 0 to 5 of 1/(sqrt(3x+1))

\int_{0}^{5} \frac{1}{3 x + 1} d x

limit as x approaches-1-of (|x+1|)/(x+1)

x \to - 1 - lim (\frac{∣ x + 1 ∣}{x + 1})

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\int 9 (2 x - 9)^{8} d x

derivative of (1+x)^n derivative of

(1 + x)^{n}

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\frac{d}{d x} (x^{2^{x}})

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=4x^2sin(x)-7x ?
The derivative of f(x)=4x^2sin(x)-7x is 4(2xsin(x)+cos(x)x^2)-7
What is the first derivative of f(x)=4x^2sin(x)-7x ?
The first derivative of f(x)=4x^2sin(x)-7x is 4(2xsin(x)+cos(x)x^2)-7