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Solved Examples
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e   Find the derivative of the function (n) = 4n + 9 directly from the definition of derivative.
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e   Use the definition of the derivative to find the derivative of (y) = 6y2 + 8y + 30.
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e   From the definition of derivative, find the derivative of g(m) = 8m2/3 + 29
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e   Use the definition of the derivative to find ′ (r) if (r) = 12r9 + 16.   e View Solution
e   Find the derivative of g(w) = 128w+15 using the definition of derivative.
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e   Find the derivative of g(l) = 9l + 7.
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e   Find the derivative of (r) = 294r+ 9 using the definition of derivative.
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e   Calculate the derivative of g(m) = 4m+610m+15 from the definition of derivative.
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e   Find the derivative of g(y) = 5sin 6y from the definition of derivative.
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e   Find the derivative of g(n) = 13cos 10n + 28 from the definition of derivative.
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e   Find dgdp, if g(p) = 9p + 6p using the definition of derivative.
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e   Find the derivative of g(x) = 10tan 4x from the definition of derivative.
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e   Find ′ (q), if (q) = 2cot 9q + 33 from the definition of derivative.   e View Solution
e   Find the derivative of g(w) = 7w+9 using the definition of derivative.   e View Solution
e   Find ′ (u), if (u) = 6u2u2+37 using the definition of derivative.
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e   If g(m) = 6|m|, then find g′ (m) using the definition of derivative.
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e   Find df dz, if (z) = 4z2+911z2+13 from the definition of derivative.   e View Solution
e   If g(w) = sin 8w+13, then find g′ (w) using the definition of derivative.   e View Solution
e   If g(w) = 9 cosec 9w + 26, then find g′ (w) using the definition of derivative.   e View Solution
e   Find the derivative of (t) = 11 (ln 5t) + 53 using the definition of derivative.   e View Solution
e   If (l) = 9e6l, then find ′ (l) using the definition of derivative.
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e   If g(k) = 10 sec 7k, then find g′ (k) using the definition of derivative.
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e   If (t) = 10(8t) + 41, then find ′ (t) using the definition of derivative.   e View Solution
e   If g(t) = cos 18t+21 + 19, then find g′ (t) using the definition of derivative.   e View Solution
e   Find the derivative of g(m) = 4log 5m + 48 using the definition of derivative.
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