What is the derivative of 5tan(x)-3e^x+4ln(x)+5^x ?

The derivative of 5tan(x)-3e^x+4ln(x)+5^x is 5sec^2(x)-3e^x+4/x+5^xln(5)

What is the first derivative of 5tan(x)-3e^x+4ln(x)+5^x ?

The first derivative of 5tan(x)-3e^x+4ln(x)+5^x is 5sec^2(x)-3e^x+4/x+5^xln(5)

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derivative of

5 tan (x) - 3 e^{x} + 4 ln (x) + 5^{x}

5 sec^{2} (x) - 3 e^{x} + \frac{4}{x} + 5^{x} ln (5)

Solution steps

\frac{d}{d x} (5 tan (x) - 3 e^{x} + 4 ln (x) + 5^{x})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 tan (x)) - \frac{d}{d x} (3 e^{x}) + \frac{d}{d x} (4 ln (x)) + \frac{d}{d x} (5^{x})

\frac{d}{d x} (5 tan (x)) = 5 sec^{2} (x)

\frac{d}{d x} (3 e^{x}) = 3 e^{x}

\frac{d}{d x} (4 ln (x)) = \frac{4}{x}

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

= 5 sec^{2} (x) - 3 e^{x} + \frac{4}{x} + 5^{x} ln (5)

6 sin^{5} (x) cos (x)

f (t) = 1 + 2 t + 3 t^{2}

\frac{d}{d x} ((x + y) i - (x^{2} + y^{2}) j)

lo g_{10} (sin (x - x^{0}))

x^{2} + y^{2} - 6 x + 8 y

What is the derivative of 5tan(x)-3e^x+4ln(x)+5^x ?
The derivative of 5tan(x)-3e^x+4ln(x)+5^x is 5sec^2(x)-3e^x+4/x+5^xln(5)
What is the first derivative of 5tan(x)-3e^x+4ln(x)+5^x ?
The first derivative of 5tan(x)-3e^x+4ln(x)+5^x is 5sec^2(x)-3e^x+4/x+5^xln(5)