What is the derivative of 7(3x^2ln(5x)+x^2) ?

The derivative of 7(3x^2ln(5x)+x^2) is 7(6xln(5x)+5x)

What is the first derivative of 7(3x^2ln(5x)+x^2) ?

The first derivative of 7(3x^2ln(5x)+x^2) is 7(6xln(5x)+5x)

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derivative of

7 (3 x^{2} ln (5 x) + x^{2})

7 (6 x ln (5 x) + 5 x)

Solution steps

\frac{d}{d x} (7 (3 x^{2} ln (5 x) + x^{2}))

Take the constant out:

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

= 7 \frac{d}{d x} (3 x^{2} ln (5 x) + x^{2})

Apply the Sum/Difference Rule:

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

= 7 (\frac{d}{d x} (3 x^{2} ln (5 x)) + \frac{d}{d x} (x^{2}))

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

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

= 7 (3 (2 x ln (5 x) + x) + 2 x)

Expand

3 (2 x ln (5 x) + x) + 2 x : 6 x ln (5 x) + 5 x

= 7 (6 x ln (5 x) + 5 x)

x \to 2 + lim (8 - x^{3})

\frac{d}{d t} (3 t cos (t))

10 sin (x)

y = x, y = - x, x = 1, x = 4

x \to 0 + lim (x^{x^{6}})

What is the derivative of 7(3x^2ln(5x)+x^2) ?
The derivative of 7(3x^2ln(5x)+x^2) is 7(6xln(5x)+5x)
What is the first derivative of 7(3x^2ln(5x)+x^2) ?
The first derivative of 7(3x^2ln(5x)+x^2) is 7(6xln(5x)+5x)