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Popular >

derivative of 7x^2tan(x)

Solution

\frac{d}{d x} (7 x^{2} tan (x))

Solution

7 (2 x tan (x) + sec^{2} (x) x^{2})

Solution steps

\frac{d}{d x} (7 x^{2} tan (x))

Take the constant out:

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

= 7 \frac{d}{d x} (x^{2} tan (x))

Apply the Product Rule:

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

f = x^{2}, g = tan (x)

= 7 (\frac{d}{d x} (x^{2}) tan (x) + \frac{d}{d x} (tan (x)) x^{2})

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= 7 (2 x tan (x) + sec^{2} (x) x^{2})

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2x^2y^{''}+6xy^'+2y=0,y(1)=2,y^'(1)=-1

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Frequently Asked Questions (FAQ)

What is the derivative of 7x^2tan(x) ?
The derivative of 7x^2tan(x) is 7(2xtan(x)+sec^2(x)x^2)
What is the first derivative of 7x^2tan(x) ?
The first derivative of 7x^2tan(x) is 7(2xtan(x)+sec^2(x)x^2)