What is the derivative of f(x)=6x^2tan(x) ?

The derivative of f(x)=6x^2tan(x) is 6(2xtan(x)+sec^2(x)x^2)

What is the first derivative of f(x)=6x^2tan(x) ?

The first derivative of f(x)=6x^2tan(x) is 6(2xtan(x)+sec^2(x)x^2)

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derivative of

f (x) = 6 x^{2} tan (x)

6 (2 x tan (x) + sec^{2} (x) x^{2})

Solution steps

\frac{d}{d x} (6 x^{2} tan (x))

Take the constant out:

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

= 6 \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)

= 6 (\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)

= 6 (2 x tan (x) + sec^{2} (x) x^{2})

\frac{d}{d x} (ln ∣ x - 3 ∣)

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

y = 2 x^{2} + 12 x + 18, (- 2, 2)

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

\frac{d}{d x} (5 x^{e})

What is the derivative of f(x)=6x^2tan(x) ?
The derivative of f(x)=6x^2tan(x) is 6(2xtan(x)+sec^2(x)x^2)
What is the first derivative of f(x)=6x^2tan(x) ?
The first derivative of f(x)=6x^2tan(x) is 6(2xtan(x)+sec^2(x)x^2)