What is the derivative of f(x)=4(4e^x-25)^7 ?

The derivative of f(x)=4(4e^x-25)^7 is 112e^x(4e^x-25)^6

What is the first derivative of f(x)=4(4e^x-25)^7 ?

The first derivative of f(x)=4(4e^x-25)^7 is 112e^x(4e^x-25)^6

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derivative of

f (x) = 4 (4 e^{x} - 25)^{7}

112 e^{x} (4 e^{x} - 25)^{6}

Solution steps

\frac{d}{d x} (4 (4 e^{x} - 25)^{7})

Take the constant out:

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

= 4 \frac{d}{d x} ((4 e^{x} - 25)^{7})

Apply the chain rule:

7 (4 e^{x} - 25)^{6} \frac{d}{d x} (4 e^{x} - 25)

= 7 (4 e^{x} - 25)^{6} \frac{d}{d x} (4 e^{x} - 25)

\frac{d}{d x} (4 e^{x} - 25) = 4 e^{x}

= 4 \cdot 7 (4 e^{x} - 25)^{6} \cdot 4 e^{x}

Simplify

= 112 e^{x} (4 e^{x} - 25)^{6}

y = 15 - x^{2}, (1, 14)

\int x^{5} (2 - 5 x^{3})^{\frac{2}{3}} d x

y^{^{''}} + 1 = 0

\frac{d}{d y} (3 y)

\int \frac{12 y ^{2}}{4 y ^{3} + 1} d y

What is the derivative of f(x)=4(4e^x-25)^7 ?
The derivative of f(x)=4(4e^x-25)^7 is 112e^x(4e^x-25)^6
What is the first derivative of f(x)=4(4e^x-25)^7 ?
The first derivative of f(x)=4(4e^x-25)^7 is 112e^x(4e^x-25)^6